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 sin (2 x + y) - sin (x + y) d x

f (x) = x^{\frac{6}{5}}

y^{^{''}} - y^{^{'}} + 2 y = 0

\frac{\partial}{\partial x} (e^{y} + x + x^{3} + 5)

\int_{- 1}^{1} (t^{3} - 9 t) d t

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