Question: for problem 6 i already know how to find the...
for problem 6, I already know how to find the derivatice of x^n using limit deffinition of derivative. This was required in the last homework set. This one asks for something else. I belive it has something to do with the chain rule as the specific domain of f:(0, inf) must be shown. Please explain each step.
For problem 8, I have an idea how to solve it. lim x->c [ (f(x))/(g(x))] = lim(f(x)- 0) / (lim g(x) - 0)
= lim(f(x)- c) / (lim g(x) - c) which could easily turn it into f'(c)/g'(c) by definition of limit. However, I do not see how it would make sense to turn c into a 0 here. In your soulution, please state the logic of each step for a thumbs up and write neatly.