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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 1

Lesson 4: Estimating limit values from tables

Creating tables for approximating limits

Given the function f and asked to estimate limit, start subscript, x, \to, minus, 7, end subscript, f, left parenthesis, x, right parenthesis, three students created tables.

Each table is accurate, but which one is the best for approximating the limit?

(Choice A)

A	x	minus, 8	minus, 7, point, 5	minus, 7, point, 25	minus, 7, point, 1	minus, 7, point, 05	minus, 7, point, 001
	f, left parenthesis, x, right parenthesis	minus, 0, point, 681	minus, 8, point, 108	minus, 0, point, 21	3, point, 776	4, point, 654	4, point, 666

(Choice B)

B	x	minus, 7, point, 1	minus, 7, point, 05	minus, 7, point, 001	minus, 6, point, 999	minus, 6, point, 95	minus, 6, point, 9
	f, left parenthesis, x, right parenthesis	3, point, 776	4, point, 654	4, point, 666	4, point, 667	4, point, 661	3, point, 843

(Choice C)

C	x	minus, 6, point, 999	minus, 6, point, 95	minus, 6, point, 9	minus, 6, point, 75	minus, 6, point, 5	minus, 6
	f, left parenthesis, x, right parenthesis	4, point, 667	4, point, 661	3, point, 843	minus, 0, point, 043	minus, 7, point, 775	minus, 0, point, 014

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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 1

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