What is the limit as x approaches 1+of 3/(x^3-1) ?

The limit as x approaches 1+of 3/(x^3-1) is infinity

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limit as x approaches 1+of 3/(x^3-1)

x \to 1 + lim (\frac{3}{x ^{3} - 1})

\infty

Solution steps

x \to 1 + lim (\frac{3}{x ^{3} - 1})

For

x

approaching

1

from the right

, x > 1 \Rightarrow x^{3} - 1 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

- 9 e^{x^{- 9}}

\int \frac{1}{x ( ln ( 2 x ) )} d x

(40 cos (20 t - \frac{π}{2}))^{^{'}}

\int t e^{- 7 t} d t

x \to 2 lim (\frac{2 x}{x ^{2} - 4})

What is the limit as x approaches 1+of 3/(x^3-1) ?
The limit as x approaches 1+of 3/(x^3-1) is infinity