LimitsHard

Question

Given f(x) =
where [.] represents the integral part function, then:

Options

A.f is continuous but not differentiable at x = 0
B.f is continuous & differentiable at x = 0
C.the differentiability of ′f′ at x = 0 depends on the value of a
D.f is continuous & differentiable at x = 0 and for a = e only.

Solution

Obvious

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