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 left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int_{- 2}^{1} (12 x^{5} - 36) d x

x^{2} y^{^{''}} + x y^{^{'}} - y = 0, y (1) = 1, y^{^{'}} (1) = 4

\int \frac{10}{( x + 1 ) ( x ^{2} + 9 )} d x

(e^{- x} - e^{2}) (e^{x} + e^{- 5})

(2, 0), (32, - 5)

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