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 right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

x \frac{d y}{d x} + 3 y = 2 x^{5}, y (2) = 7

(83) (8 - 7)

\frac{d}{d x} (1 + e^{- 5 x})

f (x) = \frac{- 6 x}{( x ^{2} + 1 )}

y \to 0 lim (\frac{2 ( x + y ) - 2 x}{y})

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