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## 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.