What is the limit as x approaches+1+of 5/(x^3-1) ?

The limit as x approaches+1+of 5/(x^3-1) is infinity

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limit as x approaches+1+of 5/(x^3-1)

x \to + 1 + lim (\frac{5}{x ^{3} - 1})

\infty

Solution steps

x \to 1 + lim (\frac{5}{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

What is the limit as x approaches+1+of 5/(x^3-1) ?
The limit as x approaches+1+of 5/(x^3-1) is infinity