What is the limit as x approaches+3-of 1/(9-x^2) ?

The limit as x approaches+3-of 1/(9-x^2) is infinity

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limit as x approaches+3-of 1/(9-x^2)

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

\infty

Solution steps

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

For

x

approaching

3

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

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What is the limit as x approaches+3-of 1/(9-x^2) ?
The limit as x approaches+3-of 1/(9-x^2) is infinity