Question

Can somebody please tell me if I'm correct in these two Calculus integration and limits questions?

Answer 1

1.

Answer 2

2.

Answer 3

Both are correct. You want to use that specific 'u' because it works out nicely and you'll be able to use power rule.
For the second quest, L'Hopital's only works for indeterminate forms, and that choice is in indeterminate form.

Answer 4

@iPwnBunnies Ok, I wanted a second opinion to confirm my answers, thank you!