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Limits of sequences Evaluate the limit of the

Chapter 1, Problem 10RE

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QUESTION:

2-10. Limits of sequences Evaluate the limit of the sequence or state that it does not exist.

\(a_{n}=\tan ^{-1} n\)

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QUESTION:

2-10. Limits of sequences Evaluate the limit of the sequence or state that it does not exist.

\(a_{n}=\tan ^{-1} n\)

ANSWER:

STEP_BY_STEP SOLUTION Step-1 1Given sequence is ; a =ntan (n). Let , tan (n) = x . Therefore , n = tan(x) . n 1 n sin(x) = 2 , then x = sin ( 2 ). 1+n 1+n 1 1 n Therefore , tan (n) = x

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