Hi all!

I have a couple questions I'm struggling with in my University homework, would love some guidance! Not after just the answer, that does not help me learn!

First up is the following limit:

I am struggling to understand how I should go about this question, I am aware the answer is -1, but would like some guidance as to how to get onto the right track towards that answer.

Next up is the following limit:

I believe I can apply L'Hopital's rule, but the question specifically asks me to write it in the form:

where y and z are functions of x, so that the fundamental trig limit can be utilized and A is a real number scalar.

Thus, I am not sure how to express it in that form, so guidance as to what trig identities I should use etc. will be greatly appreciated!

Thanks in advanced for any help!

Cheers