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 right

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

\int x^{2} (x + 3) d x

x^{2} + y^{2} = 25, (4, 3)

\frac{\partial}{\partial x} (4 z^{5} + x^{4} y - y^{5} x)

\int (sin (t) cos (t)) d t

x \to \infty lim (- 4^{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