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

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

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

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

- \infty

Solution steps

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

Simplify

\frac{x + 3}{x ^{2} - 9} : \frac{1}{x - 3}

= x \to 3 - lim (\frac{1}{x - 3})

For

x

approaching

3

from the left

, x < 3 \Rightarrow x - 3 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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