calculus problem on limits

Question

1)

2)

Answer for 

1) infinity 

2) 1/sqrt(3)

please verify 

Comments

@reena $\left ( 1 + \frac{1}{n} \right )^{n^{2}} =\left ( \left ( 1 + \frac{1}{n} \right )^{n} \right )^{n}$

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yes @just_bhavana and @prashant I missed it..

1. Limit does not exist

1.$1/root(3)$

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Can anybody please tell why Limit doesn't exist for 1st question as I am getting the ans as 1.

Answer 1

1) infinity

2) 1/✓3