Show that the function f(x)=|x| is …
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Gaurav Seth 5 years, 3 months ago
Given values :
The function f(x) = x is continuous at x = 0.
To Prove :
That the function f(x)=x is continuous at x=0, but not differentiable at
x = 0.
Solution :
First of all prove :
We know that :
Note :
If this is required then use!
Then,
So,
Now,
To Represent :
So,
Did you observe?
So, You should obesreve! that,
Hence,
The two sided limit does not exist.
That is, the derivative does not exist at x = 0
0Thank You