What is the limit as x approaches-5-of 6/(x^2-25) ?

The limit as x approaches-5-of 6/(x^2-25) is infinity

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limit as x approaches-5-of 6/(x^2-25)

x \to - 5 - lim (\frac{6}{x ^{2} - 25})

\infty

Solution steps

x \to - 5 - lim (\frac{6}{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

f (x) = sin (x^{2} + 2)

\frac{d ^{2}}{d x ^{2}} (e^{2 x^{2}})

\frac{d y}{d x}, e^{9 x} = sin (x + 8 y)

\int_{0}^{1} (x^{13} + 1 3^{x}) d x

x \to 8 - lim (\frac{∣ x - 8 ∣}{x - 8})

What is the limit as x approaches-5-of 6/(x^2-25) ?
The limit as x approaches-5-of 6/(x^2-25) is infinity