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 left

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

\int sin^{3} (t) cos^{2} (t) d t

x \to - 2 lim (3 + x^{2})

x \to 0 lim (ln (4 sin (x)))

\int (1 - t) e^{- s t} d t

x \to - 2 lim (x^{2} - 2)

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