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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{\partial}{\partial t} (\frac{3 s + t}{4 s - t})

2 y cos (x) d x + 3 sin (x) d y = 0

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 2 x - y}

y^{^{'}} + 5 x^{4} y = x^{4}

\int \frac{y}{x ^{2} + y ^{2}} d y

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