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f(x) is continuous at x = 0 then which ...

`f(x) ` is continuous at `x = 0` then which of the following are always true ?

A

A. `underset(x rarr 0)(lim) f(x) = 0`

B

B. f(x) is non coninuous at x = 1

C

C. `g(x) = x^(2) f(x)` is continuous x = 0

D

D. `underset(x rarr 0^(+))(lim) (f(x) - f(0)) = 0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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