The function $f:R/\left\{ 0 \right\} \to R$ given by $f\left( x \right) = {1 \over x} - {2 \over {{e^{2x}} - 1}}$ can be made continuous at $x$ = 0 by defining $f$(0) as

Question

The function $f:R/\left\{ 0 \right\} \to R$ given by

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

can be made continuous at $x$ = 0 by defining $f$(0) as

$-1$

Solution

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