Question

limits problem. How do I start?

Answer 1

Have you considered expanding that binomial? You can do it!

Hint:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Do you know the triangle?

Answer 2

Recall
\[f'(a)=\lim_{h \rightarrow 0}\frac{f(a+h)-f(a)}{h}\]
you are to compare to
\[\lim_{h \rightarrow 0}\frac{(1+h)^6-1}{h}\]

and identify what is f(x) and what is a.

If you have to take a guess what is f(x) and what is a and see if it fits the \[\lim_{h \rightarrow 0}\frac{(1+h)^6-1}{h}\]