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Limits Continuity and Differentiability question

2002 · Shift 0 · Q66

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JEE Main
Mathematics
Limits Continuity and Differentiability
2002 · Shift 0 · Q66

Limits Continuity and Differentiability question

2002 · Shift 0 · Q66

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f(2) = 4

and

f'(x) = 4.

Then

\mathop {\lim }\limits_{x \to 2} {{xf\left( 2 \right) - 2f\left( x \right)} \over {x - 2}}

is given by

A
$2$
B
$- 2$
C
$- 4$
D
$3$

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