What is the limit as x approaches 1 of x/(e^{2x)-1} ?

The limit as x approaches 1 of x/(e^{2x)-1} is 1/(e^2-1)

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limit as x approaches 1 of x/(e^{2x)-1}

x \to 1 lim (\frac{x}{e ^{2 x} - 1})

\frac{1}{e ^{2} - 1}

Decimal

0.15651 \dots

Solution steps

x \to 1 lim (\frac{x}{e ^{2 x} - 1})

Plug in the value

x = 1

= \frac{1}{e ^{2 \cdot 1} - 1}

Simplify

= \frac{1}{e ^{2} - 1}

x \to 0 + lim (tan (x ln (x)))

x \to - \frac{π}{2} - lim (7 sin (x) + 9)

x \to 3 + lim (\frac{x}{( x - 3 ) ^{2}})

x \to 3 + lim (\frac{- 2}{3 - x})

x \to 0 + lim (x^{x + 1})

What is the limit as x approaches 1 of x/(e^{2x)-1} ?
The limit as x approaches 1 of x/(e^{2x)-1} is 1/(e^2-1)