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

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

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

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

\infty

Solution steps

x \to 1 + lim (\frac{1}{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

f (x) = tan^{3} (x)

\int_{1}^{e^{4}} x^{3} ln (x) d x

\int sin^{0} (x) d x

\int_{0}^{8} (8 y - y^{2}) d y

n = 1 \sum \infty 100 e^{- \frac{n}{2}}

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