- #1
Darth Frodo
- 212
- 1
Homework Statement
suppose a function f is differentiable at x = 1 and
lim[h → 0] [itex]\frac{f(1 + h)}{h}[/itex] = 5
Finf, f(1) AND f'(1)
The Attempt at a Solution
f(x) is differentiable at x = 1
f(x) is continious at x = 1
lim[x→1] f(x)= f(1)
f'(x) = lim[h→0] [itex]\frac{f(1 + h) - f(1)}{h}[/itex]
= 5.lim[h→0]f(1)
= 5.f(1)
= 5lim[x→1]f(x)
Is this correct? I can't see anything else to do.