Continuity and DifferentiabilityMedium
Question
The function f(x) 
is
is Options
A.continuous at x = 1
B.differentiable at x =1
C.diecontinuous at x =1
D.differentiable at x = 3
Solution
Here, f(x) 
∴ RHL at x = 1
⇒
|1 + h - 3| = 2
LHL at x = 1
∴ f (x) is continusous at x = 1
Again, f(x)
∴ f′(x)
∴
differentiable at x =1
Again,
not differentiable at x =3
∴ RHL at x = 1
⇒
|1 + h - 3| = 2LHL at x = 1
∴ f (x) is continusous at x = 1
Again, f(x)
∴ f′(x)
∴
differentiable at x =1Again,
not differentiable at x =3Create a free account to view solution
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