LimitsHard

Question

If f(x) = , then f(x) is

Options

A.continuous as well as diff. at x = 0
B.continuous at x = 0, but not diff. at = 0
C.neither continuous at x = 0 nor diff. at x = 0
D.none of these

Solution



f(0) = 0
f(x) is continuous at x = 0
LHD at x = 0  is

LHD is not define so f(x) is not differentiable at x = 0

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