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 positive quantity approaching 0 from the right

= \infty

f (x) = arccos (- 3 x)

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

\frac{\partial}{\partial x} (\frac{1}{x ^{2} - y ^{2}})

\int 9 y^{2} d y

\int_{0}^{5} \frac{1}{25 + t ^{2}} d t

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