13.0k views
0 votes
Explain why f(x)
is not differentiable at x = 0.​

Explain why f(x) is not differentiable at x = 0.​-example-1
User Oron
by
4.1k points

1 Answer

1 vote

The derivative at
x=0 is given by the limit


\displaystyle \lim_(x\to0) (f(x) - f(0))/(x - 0)

but this limit does not exist because
f(0) is undefined.

User CLiFoS
by
3.8k points