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Question

Mathematics Question on Continuity and differentiability

If f(x)= 4+x2x,If x0 k If x0\frac{\sqrt{4} + x - 2}{x}, If \ x \neq 0 \\\ k \ If \ x \neq 0 ,is continuous at x = 0, then the value of k is:

A

0

B

4

C

14\frac{1}{4}

D

1

Answer

14\frac{1}{4}

Explanation

Solution

The correct option is (C): 14\frac{1}{4}