What is the limit as x approaches 1-of 5/(x^3-1) ?

The limit as x approaches 1-of 5/(x^3-1) is -infinity

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limit as x approaches 1-of 5/(x^3-1)

x \to 1 - lim (\frac{5}{x ^{3} - 1})

- \infty

Solution steps

x \to 1 - lim (\frac{5}{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

f (x) = 4 x^{2} - 2 x + 1, at x = 3

1 + e^{x}

\int - x cos (2 x) d x

e^{4 x^{2} + 1}

\int (1 + tan (θ))^{5} sec^{2} (θ) d θ

What is the limit as x approaches 1-of 5/(x^3-1) ?
The limit as x approaches 1-of 5/(x^3-1) is -infinity