I have two questions. The first one, I got 1 so I just want a confirmation that that is right (or then help me with what I did wrong)

And the second I have no clue

I need to find the limits if they exist (or show that they dont exist)

a) limit as n approaches infinity of [1+(1/(2n))] ^ (n-1)

b) lim as n approaches infinity of [ ln ( n + cos n)] / [ln n^2]

for a) I figured 1/infinity is 0 so 1+0 is 1 and 1 to the power of anything is 1.

WIll someone help me with b)

Thank you!!