What is the limit as x approaches 5+of 3/(x^2-25) ?

The limit as x approaches 5+of 3/(x^2-25) is infinity

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limit as x approaches 5+of 3/(x^2-25)

x \to 5 + lim (\frac{3}{x ^{2} - 25})

\infty

Solution steps

x \to 5 + lim (\frac{3}{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

x \to 5 lim (2 x - 3)

x \to 1 lim (x^{\frac{x}{x - 1}})

x \to \infty lim (\frac{1}{7 x})

x \to 5 lim (sec^{2} (π))

x \to 9 + lim (f (x))

What is the limit as x approaches 5+of 3/(x^2-25) ?
The limit as x approaches 5+of 3/(x^2-25) is infinity