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

\int 9 θ cos (θ) d θ

x^{2} - 3, 2 x

e^{x} + 3 x e^{x}

x \to 0 + lim (x^{4 s i n (x)})

y = x^{2} - 9 x, (3, - 18)

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