Q. 53

# Mark (β) against the correct answer in the following:

Let

Then, which of the following is the true statement?

A. is not defined at x = 0

B. does not exist

C. is continuous at x = 0

D. is discontinuous at x = 0

Answer :

Left hand limit =

Right hand limit =

= 1

As L.H.L = R.H.L

F(x) is continuous.

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