What is the limit as x approaches 1-of 7/(x^3-1) ?

The limit as x approaches 1-of 7/(x^3-1) is -infinity

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limit as x approaches 1-of 7/(x^3-1)

x \to 1 - lim (\frac{7}{x ^{3} - 1})

- \infty

Solution steps

x \to 1 - lim (\frac{7}{x ^{3} - 1})

For

x

approaching

1

from the left

, x < 1 \Rightarrow x^{3} - 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 9 lim (5)

(- 2, 8), (- 6, 0)

f (x) = e^{x^{3}}

\frac{1}{s ( 5 s + 3 )}

\frac{d y}{d x} + x y = x^{3}

What is the limit as x approaches 1-of 7/(x^3-1) ?
The limit as x approaches 1-of 7/(x^3-1) is -infinity