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Let f(a)=g(a)=k and their n^th order der...

Let `f(a)=g(a)=k` and their `n^th` order derivatives `f^n(a),g^n(a)` exist and are not equal for some `n in N`. Further, if
`lim_(xtoa)(f(a)g(x)-f(a)-g(a)f(x)+g(a))/(g(x)-f(x))=4`, then the value of k, is

A

4

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
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