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Solved: Limits of sequences Evaluate the limit of the
Chapter 1, Problem 6RE(choose chapter or problem)
QUESTION:
2-10. Limits of sequences Evaluate the limit of the sequence or state that it does not exist.
\(a_{n}=n-\sqrt{n^{2}-1}\)
Questions & Answers
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