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+1 vote
1.1k views
in Derivatives by (49.2k points)
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At x = 2, f(x) = |x| is

A. continuous but not differentiable

B. differentiable but not continuous

C. continuous as well as differentiable

D. none of these

1 Answer

+2 votes
by (50.7k points)
selected by
 
Best answer

Answer is : D. none of these

Given:

Let us see that graph of the modulus function.

We can see that f(x) = |x| is neither continuous and nor differentiable at x = 2. Hence, D is the correct answer.

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