What is the limit as x approaches-3+of-2/(x^2-9) ?

The limit as x approaches-3+of-2/(x^2-9) is infinity

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limit as x approaches-3+of-2/(x^2-9)

x \to - 3 + lim (- \frac{2}{x ^{2} - 9})

\infty

Solution steps

x \to - 3 + lim (- \frac{2}{x ^{2} - 9})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 2 \cdot x \to - 3 + lim (\frac{1}{x ^{2} - 9})

For

x

approaching

- 3

from the right

, x > - 3 \Rightarrow x^{2} - 9 < 0

The denominator is a negative quantity approaching 0 from the left

= - 2 (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\frac{3}{( 2 s ^{2} + 8 s + 10 )}

\int \frac{1}{x ^{2} - 8 x + 1} d x

\int \frac{e ^{y}}{y} d y

\int 22 x^{2} ln (x) d x

g (x) = x^{2}

What is the limit as x approaches-3+of-2/(x^2-9) ?
The limit as x approaches-3+of-2/(x^2-9) is infinity