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

(1 + x^{2}) y^{^{'}} = x (1 - y)

1 + 4 x - x^{2}, 11 - x - x^{2}, 1 - \frac{2 x}{3}

x + 1, 2 x - 4, 0, 3

\int \frac{3 x ^{5} - 2}{4 x - 4 x ^{5}} d x

\frac{3}{x}, - 1

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