- #1

utkarshakash

Gold Member

- 855

- 13

## Homework Statement

If f(x) is a continuous and differentiable function and f(1/n)=0, for all nεN, then

a)f(x)=0 for all x ε (0,1]

b) f(0)=f'(0)=0

c) f'(0)=f"(0)

d)f(0)=0 and f'(0) need not be zero.

## Homework Equations

## The Attempt at a Solution

I would say d but the correct answer is b. Why should I believe that f'(0)=0 if f(0)=0?