[xThai]

For #1, I have no idea how to approach this... I've literally looked at it for an hour without any idea how to do it.

For #2, I just proved this by using the squeeze theorem proof, using epsilon and delta. I'm hoping it's correct, but I'm supposed that the limit of g(x) as x -> a exists. (p.s. the last part is a typo and it's supposed to say g(x)). So I don't think the way I did it is correct.

Any help?