Continuity and DifferentiabilityHard

Question

Let f(x), where p is constant. Then f(x) at x = 0 is

Options

A.p
B.p + p2
C.p + p3
D.independent of p

Solution

Given, f(x)
On differentiating w.r.t.x, we get
f(x)
f′(x)
⇒     f′(x)
⇒     f′′(x)
and f′′′(x)
∴     f′′′(x)
= independent of p

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