Solved: Limits of sequences Evaluate the limit of the

Chapter 1, Problem 6RE

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QUESTION:

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

\(a_{n}=n-\sqrt{n^{2}-1}\)

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QUESTION:

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

\(a_{n}=n-\sqrt{n^{2}-1}\)

ANSWER:

STEP_BY _ STEP SOLUTION Step-1 2Given sequence is ; a n n - n 1. Now , we have to evaluate the limit. 2 That is ,nm an= ln( n - n 1).Here , direct substitution method is not possible . Because as n , the value of a in alsotending to infinity.First simplify the function by multipl

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