Question

see attachment. I need help on #4&5.

Answer 1

C is correct, because C is always the right choice

Answer 2

\[\frac{h^2}{h}=h\] if \(h\neq 0\) so the LIMIT as \(h\to 0\) of \(\frac{h^2}{h}=\lim_{h\to 0}h=0\)

Answer 3

\(\frac{0^2}{0}\) has no meaning, so forget the first two

Answer 4

problem 5 use the top equation \(\frac{1}{2}x\) to find the limit as \(x\) approaches \(-1\) from the left, i.e. \(\lim_{x\to -1^-}f(x)\) plug \(-1\) in to to the first fromula
similarly to compute \(\lim_{x\to -1^+}f(x)\) plug \(-1\) in to the second formula

Answer 5

i hope you see that at least for the second problem, once you know what you have to do it is easy