What is the limit as x approaches 1+of 2/(x^3-1) ?

The limit as x approaches 1+of 2/(x^3-1) is infinity

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limit as x approaches 1+of 2/(x^3-1)

x \to 1 + lim (\frac{2}{x ^{3} - 1})

\infty

Solution steps

x \to 1 + lim (\frac{2}{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

\int - 2 π cos^{4} (π x) sin^{5} (π x) d x

\int 5 x 2 x + 3 d x

f (x) = x (3 - x)^{2}, at x = 2

\int \frac{1}{x ( 1 + x ) ^{3}} d x

x \to 2 lim (a x^{2} - 2 b x + 1)

What is the limit as x approaches 1+of 2/(x^3-1) ?
The limit as x approaches 1+of 2/(x^3-1) is infinity