- #1
FlorenceC
- 24
- 0
1. The problem statement, all variables and given/known dat
If f and g are differentiable functions with f(O) = g(0) = 0 and g'(O) not equal 0, show that
lim f(x) = f'(0)
x->0 g(x) g'(0)
I know that lim as x→a f(a) = f(a) if function is continuous. since its differentiable it's continuous. so lim x→0 f(x) = f(0). and lim x→0 g(x) = g(0) but you can't have a 0/0.
I have so idea how to get to the derivative part.
If f and g are differentiable functions with f(O) = g(0) = 0 and g'(O) not equal 0, show that
lim f(x) = f'(0)
x->0 g(x) g'(0)
The Attempt at a Solution
I know that lim as x→a f(a) = f(a) if function is continuous. since its differentiable it's continuous. so lim x→0 f(x) = f(0). and lim x→0 g(x) = g(0) but you can't have a 0/0.
I have so idea how to get to the derivative part.