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

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

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

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

- \infty

Solution steps

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

For

x

approaching

3

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int_{1}^{3} \frac{x ^{2} + 5}{4 x - x ^{2}} d x

\frac{d}{d x} (15 x^{4})

s im pl i f y \frac{2}{x} - 1

\int \frac{arcsin ( 3 x )}{1 - 9 x ^{2}} d x

d er i v a t i v e y = \frac{( x - 1 )}{x + 1}

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