What is the limit as x approaches-5+of (-2)/(x^2-25) ?

The limit as x approaches-5+of (-2)/(x^2-25) is infinity

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limit as x approaches-5+of (-2)/(x^2-25)

x \to - 5 + lim (\frac{- 2}{x ^{2} - 25})

\infty

Solution steps

x \to - 5 + lim (\frac{- 2}{x ^{2} - 25})

For

x

approaching

- 5

from the right

, x > - 5 \Rightarrow x^{2} - 25 < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

\frac{d}{d t} (\frac{1}{1 + t ^{2}})

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 2

\frac{6}{s} + \frac{24}{s ^{2} + 16}

x \to 6 lim (\frac{3}{x})

\frac{d}{d x} (\frac{e ^{x}}{e ^{x} + 2})

What is the limit as x approaches-5+of (-2)/(x^2-25) ?
The limit as x approaches-5+of (-2)/(x^2-25) is infinity