Limits of sequences Evaluate the limit of the sequence or

Chapter 1, Problem 7RE

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QUESTION:

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

\(a_{n}=\left(\frac{1}{n}\right)^{1 / \ln n}\)

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QUESTION:

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

\(a_{n}=\left(\frac{1}{n}\right)^{1 / \ln n}\)

ANSWER:

STEP_BY_STEP SOLUTION Step-1 1 1/ln(n) Given sequence is ; a n ( )n It is an exponential form , here the base and power contains ‘n ‘ . So , in this casestake ‘ln’ on both sides .Then the given sequence becomes; 1 1/ln(n)

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