Question

How would I find if the sequences a_{n}=*nπ cos*(*nπ*) and a_{n}= (*n*^{2})^{(1/n)} are convergent/divergent?

Step 1

To examine the given sequence regarding convergence, that is study the limits as n tends to infinity

Step 2

A general remark about problems on sequences. Work out a few terms to get the feel (pattern). This is always useful to understand whether the limit exists or not, and then try to justify the proposed limit

Step 3

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Sorry about that. What wasn’t helpful?