KCET 2006 Math Solved Paper

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Question : 45 of 60

Marks: +1, -0

Which one of the following is not true always?

If a function f(x) is continuous at x=a, then x→a.f(x) exists.
If f(x) and g(x) are differentiable at x=a, then f(x)+g(x) is also differentiable at x=a
If f(x) is continuous at x=a, then it is differentiable at x=a
If f(x) is not continuous at x=a, then it is not differentiable at x=a.

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