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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{d}{d x} (3 x^{3} y - 2 x^{2} y^{2} + 3 y)

y^{^{''}} = (\frac{t}{t - 1}) y^{^{'}}

\frac{d}{d y} (\frac{x ^{2}}{( x - y ) ^{2}})

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

x \to 2 + lim (\frac{x + 6}{x + 2})

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