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Limits Continuity and Differentiability question

2018 · 16 Apr · Shift 1 · Q29

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JEE Main
Mathematics
Limits Continuity and Differentiability
2018 · 16 Apr · Shift 1 · Q29

Limits Continuity and Differentiability question

2018 · 16 Apr · Shift 1 · Q29

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If the function f defined as

f\left( x \right) = {1 \over x} - {{k - 1} \over {{e^{2x}} - 1}},x e 0,

is continuous at x = 0, then the ordered pair (k, f(0)) is equal to :

A
(3, 2)
B
(3, 1)
C
(2, 1)
D
$\left( {{1 \over 3},\,2} \right)$

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