What is the limit as x approaches 5+of 4/(x^2-25) ?

The limit as x approaches 5+of 4/(x^2-25) is infinity

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limit as x approaches 5+of 4/(x^2-25)

x \to 5 + lim (\frac{4}{x ^{2} - 25})

\infty

Solution steps

x \to 5 + lim (\frac{4}{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 0 lim (\frac{( x - 1 )}{x ^{2}})

x \to - 3 lim (2 x + 8)

x \to \infty lim (e^{x} - e)

x \to \infty lim (- 15)

x \to - 0.1 lim (\frac{( e ^{x} - 1 )}{x})

What is the limit as x approaches 5+of 4/(x^2-25) ?
The limit as x approaches 5+of 4/(x^2-25) is infinity