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

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

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

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

\infty

Solution steps

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

For

x

approaching

4

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (8 x ln (x))

n \to 2 lim (4)

x \to 0 - lim (\frac{1}{∣ x ∣} - \frac{1}{x})

x \to 0 lim (x + 5)

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

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