For the limit of a function f(x) to exist at a point 'a', need not exist finitely.

limx→a+f(x)

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limx→a-f(x)

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f(a)

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Solution

The correct option is C f(a)
We say $lim x \to a f (x)$ exist when the L.H.L and R.H.L exist finitely and are equal. We do not have to worry about the value of the function at x=a while finding limit.

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