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AP Calculus AB/Unit 1: Limits and Continuity
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Limit Definition of e

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Evaluate limx(1+1x)x\lim_{x \to \infty} \left(1 + \frac{1}{x}\right)^{x}.

A

ee

B

11

C

00

D

A misapplication of the limit definition for the exponential function may lead one to mistakenly conclude that the limit is 11, but it converges to the constant ee.

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