<?xml version="1.0" encoding="UTF-8"?>
<urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9"
        xmlns:xhtml="http://www.w3.org/1999/xhtml"
        xmlns:video="http://www.google.com/schemas/sitemap-video/1.1"
        xmlns:image="http://www.google.com/schemas/sitemap-image/1.1">
    
    <url>
        <loc>https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities</loc>
        
        <xhtml:link rel="alternate" hreflang="bg"
                    href="https://bg.khanacademy.org/math/11-klas-bg-profil-modul-2/x90ec0a612287f64b:neprekusnatost/x90ec0a612287f64b:dodefinirne-na-funkcia-v-tochka-da-e-neprekusnata/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="cs"
                    href="https://cs.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="da"
                    href="https://da.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="en"
                    href="https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="es"
                    href="https://es.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="fr"
                    href="https://fr.khanacademy.org/math/be-5eme-secondaire4h2/xe8f0cb2c937e9fc1:etude-d-une-fonction-limites-et-asymptotes/xe8f0cb2c937e9fc1:asymptote-verticale-limite-infinie-en-un-point/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="ka"
                    href="https://ka.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="ko"
                    href="https://ko.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="pl"
                    href="https://pl.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="pt"
                    href="https://pt.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="uk"
                    href="https://uk.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/v/types-of-discontinuities" />
        
        <xhtml:link rel="alternate" hreflang="zh-hans"
                    href="https://zh.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/v/types-of-discontinuities" />
        
        <lastmod>2026-06-25T15:40:55.094699315Z</lastmod>
        
        <PageMap xmlns="http://www.google.com/schemas/sitemap-pagemap/1.0">
            <DataObject type="document" id="types-of-discontinuities">
            <Attribute name="title">Exploring types of discontinuities</Attribute>
            <Attribute name="description">This video discusses three discontinuity types: point/removable, jump, and asymptotic/infinite. Point/removable occurs when the two-sided limit exists but differs from the function&#39;s value. Jump arises when one-sided limits aren&#39;t equal, and asymptotic/infinite happens when the two-sided limit is unbounded. Continuity requires the two-sided limit to match the function&#39;s value.</Attribute>
            
            <Attribute name="type">video</Attribute>
            
            </DataObject>
        </PageMap>
        
        <video:video>
            <video:thumbnail_loc>https://cdn.kastatic.org/ka_thumbnails_cache/8a1647af-0e93-4f03-89c8-e462f971cd06_1280_720_base.png</video:thumbnail_loc>
            <video:title>Exploring types of discontinuities</video:title>
            <video:description>This video discusses three discontinuity types: point/removable, jump, and asymptotic/infinite. Point/removable occurs when the two-sided limit exists but differs from the function&#39;s value. Jump arises when one-sided limits aren&#39;t equal, and asymptotic/infinite happens when the two-sided limit is unbounded. Continuity requires the two-sided limit to match the function&#39;s value.</video:description>
            <video:player_loc>https://cdn.kastatic.org/ka-youtube-converted/NVGBq_V-F6U.mp4/NVGBq_V-F6U.mp4</video:player_loc>
            <video:duration>436</video:duration>
            <video:category>Exploring types of discontinuities</video:category>
        </video:video>
        
    </url>
    
    <url>
        <loc>https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical</loc>
        
        <xhtml:link rel="alternate" hreflang="bg"
                    href="https://bg.khanacademy.org/math/11-klas-bg-profil-modul-2/x90ec0a612287f64b:neprekusnatost/x90ec0a612287f64b:dodefinirne-na-funkcia-v-tochka-da-e-neprekusnata/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="cs"
                    href="https://cs.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="da"
                    href="https://da.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="en"
                    href="https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="es"
                    href="https://es.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="fr"
                    href="https://fr.khanacademy.org/math/be-5eme-secondaire4h2/xe8f0cb2c937e9fc1:etude-d-une-fonction-limites-et-asymptotes/xe8f0cb2c937e9fc1:asymptote-verticale-limite-infinie-en-un-point/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="ka"
                    href="https://ka.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="ko"
                    href="https://ko.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="pl"
                    href="https://pl.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="pt"
                    href="https://pt.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="pt-pt"
                    href="https://pt-pt.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="tr"
                    href="https://tr.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-10/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="uk"
                    href="https://uk.khanacademy.org/math/precalculus/x9e81a4f98389efdf:limits-and-continuity/x9e81a4f98389efdf:exploring-types-of-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <xhtml:link rel="alternate" hreflang="zh-hans"
                    href="https://zh.khanacademy.org/math/differential-calculus/dc-limits/dc-discontinuities/e/analyzing-discontinuities-graphical" />
        
        <lastmod>2026-03-26T05:30:45.387289448Z</lastmod>
        
        <PageMap xmlns="http://www.google.com/schemas/sitemap-pagemap/1.0">
            <DataObject type="document" id="analyzing-discontinuities-graphical">
            <Attribute name="title">Classify discontinuities</Attribute>
            <Attribute name="description">Given the graph of a function, identify and analyze its points of discontinuity.</Attribute>
            <Attribute name="author">Tomer Gal</Attribute>
            <Attribute name="type">exercise</Attribute>
            
            </DataObject>
        </PageMap>
        
    </url>
    
</urlset>
