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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 740

Q.Show that the function f(x)=|x|+|x-1| is continuous for every value of x but is not differentiable at x=0 and x=1

A. I have checked the continuity, only need to check Lf'(0) and Rf'(0) and for x=1

M.M.Zeeshan.K

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,524

Correct. Here's the graph:

https://www.mathsisfun.com/data/functio … )+abs(x-1)

So just show that the left and right limits are not the same.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob Bundy

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