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AP®︎/College Calculus AB

Lesson 11: Defining continuity at a point

Continuity at a point (graphical)

AP.CALC: LIM‑2 (EU), LIM‑2.A (LO), LIM‑2.A.2 (EK)

Function f is graphed.

Select all correct statements about f at x, equals, 2.

(Choice A)
Both limit, start subscript, x, \to, 2, start superscript, plus, end superscript, end subscript, f, left parenthesis, x, right parenthesis and limit, start subscript, x, \to, 2, start superscript, minus, end superscript, end subscript, f, left parenthesis, x, right parenthesis exist
(Choice B)
limit, start subscript, x, \to, 2, end subscript, f, left parenthesis, x, right parenthesis exists
(Choice C)
f is defined at x, equals, 2
(Choice D)
f is continuous at x, equals, 2
(Choice E)
None of the above

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