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## Homework Statement

if g:[-1,1] -> Reals is differentiable with g(0) = 0 and g(x) doesnt equal 0 for x not = 0 and f : Reals -> Reals is a continuous function with f(x)/g(x) ->1 as x->0 then f(x) is differentiable at 0.

## Homework Equations

## The Attempt at a Solution

I took f(x) = |x| and g(x) = arcsin(x) , does this work as a counter example?