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If lim(x rarr a^(+)) f(x) = l = lim(x ra...

If `lim_(x rarr a^(+)) f(x) = l = lim_(x rarr a^(-)) g(x) and lim_(x rarr a^(-)) f(x) = m = lim_(x rarr a^(+)) g(x)`, then the function f(x) g(x) :

A

is continuous at x = a

B

is not continuous at x = a

C

has a limit when `x rarr a` and is equal to lm

D

has a limit when `x rarr a`, but it is not equal to lm

Text Solution

Verified by Experts

The correct Answer is:
C
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