Question

For each function below, find the number A that would make it continuous at x = 0. Then, for that A, evaluate f '(0) using the limit definition of derivative. (If an answer does not exist, enter DNE.)



f(x) { 8/ln(x) X doesn't = 0

A X=0



f(x) { (e^7x -1)/x x doesn't = 0

A x=0

f'(0)= ? for each
I need the second part for each question but I can't find it

Answer 1

you are being asked to find
\[\lim_{x\to 0}\frac{8}{\ln(x)}\]

Answer 2

clear what that is or no?

Answer 3

yes. but i can't find it.