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Limits Continuity and Differentiability question

2003 · Shift 0 · Q71

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2003 · Shift 0 · Q71

Limits Continuity and Differentiability question

2003 · Shift 0 · Q71

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f(a) = g(a) = k

and their nth derivatives

{f^n}(a)

,

{g^n}(a)

exist and are not equal for some n. Further if

\mathop {\lim }\limits_{x \to a} {{f(a)g(x) - f(a) - g(a)f(x) + f(a)} \over {g(x) - f(x)}} = 4

then the value of k is

A
0
B
4
C
2
D
1

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