Show that the function F(x) = 
is
Neither continuous and nor differentiable, if m≤0.
LHL = 
= 
= 
= Not defined, as m 
0
RHL = 
= 
= 
= Not Defined, as 
Since, LHL and RHL are not Defined ,So f(x) is not continuous.
Let x = 0 for 
Now,
(LHD at x = 0) = 
= 
= 
= 
= 
= 
= Not Defined , as 
(RHD at x = 0) = 
= 
= 
= 
= Not Defined , as 
Hence, f(x) is not differentiable at x = 0 for 
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