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 left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

n = 1 \sum \infty \frac{6 n}{8 n + 9}

\int p^{8} ln (p) d p

\int cos^{3} (8 x) sin^{- 2} (8 x) d x

y^{^{'}} = \frac{( y ^{2} + 1 )}{2 y}

\int \frac{12 x ^{2} + x + 2}{x ( x ^{2} + 1 )} d x

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