What is the limit as x approaches-5+of (-1)/(x^2-25) ?

The limit as x approaches-5+of (-1)/(x^2-25) is infinity

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limit as x approaches-5+of (-1)/(x^2-25)

x \to - 5 + lim (\frac{- 1}{x ^{2} - 25})

\infty

Solution steps

x \to - 5 + lim (\frac{- 1}{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 x} (g (x) \cdot (a x^{2} + x))

n = 2 \sum \infty \frac{( 3 ^{3 n} )}{2 ^{2 n - 2}}

x \to 10 lim (\frac{x}{x ^{2} - 100})

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

\frac{d}{d x} (\frac{1 - cos ( x )}{x})

What is the limit as x approaches-5+of (-1)/(x^2-25) ?
The limit as x approaches-5+of (-1)/(x^2-25) is infinity