Use Theorem 4 to determine the limit of the sequence. a n = tan 1 (e n

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Use Theorem 4 to determine the limit of the sequence.

THEOREM 4 If f is continuous and lim a, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may

a_n= tan⁻¹(e⁻ⁿ)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 06:58 AM

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Use Theorem 4 to determine the limit of the sequence. a n = tan 1 (e n

Question:

THEOREM 4 If f is continuous and lim a, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may pass a limit of a sequence inside a continuous function.

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We have lim e lim e 0 n ...View the full answer

Calculus

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