If the function f defined as f(x) = 1/x - (k - 1)/(e²ˣ - 1),x ≠ 0, is continuous at x = 0, then the ordered pair (k, f(0)) is equal to:

Limit, Continuity and Differentiability: JEE Main 2018 Mathematics question

JEE Main 2018 · 16 Apr, Morning shift · Q4132

JEE Main 201816 Apr, Morning shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

If the function f defined as

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

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

JEE Main 2018 · 16 Apr, Morning shift · Q4132

JEE Main 201816 Apr, Morning shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

If the function f defined as

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

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