I've tried thinking of two sequences to use to prove the second question, but I just can't come up with something that's always greater than log(1+x) which converges to 0. It should be simple enough but I'm hitting a brick wall...
Ah of course, the sqeeze rule! I should have thought of that! I find it really difficult to come up with two sequences required to use the rule, but I'll try doing the second part myself before asking for assistance.
Thank you for the help!
I have a few questions for my homework assignments for solving limits, but in order to do those questions I have to use a few standard limits that we haven't been taught, which means I'll have to prove them. I know these can be done using L'Hopital's rule, but we haven't covered that yet so I...
Thank you So much for your reply, I've perfectly understood how to solve it now! Just one quick question though, shouldn't the roots of the auxiliary equation be -2 and 1/2? It's not a big deal as the concept remains the same, but I just wanted to confirm whether it was a calculation mistake on...