What is the limit as x approaches 4+of 1/(x^3-64) ?

The limit as x approaches 4+of 1/(x^3-64) is infinity

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limit as x approaches 4+of 1/(x^3-64)

x \to 4 + lim (\frac{1}{x ^{3} - 64})

\infty

Solution steps

x \to 4 + lim (\frac{1}{x ^{3} - 64})

For

x

approaching

4

from the right

, x > 4 \Rightarrow x^{3} - 64 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int sec^{6} (2 x) d x

\int \frac{4}{5 + 2 x - x ^{2}} d x

3 (s^{3} - s^{2})

\frac{d}{d x} (e^{8 x s i n (2 x)})

\frac{d}{d x} (\frac{2 x}{9 x ^{2} + 1})

What is the limit as x approaches 4+of 1/(x^3-64) ?
The limit as x approaches 4+of 1/(x^3-64) is infinity