What is the limit as x approaches-7-of 1/(x^2-49) ?

The limit as x approaches-7-of 1/(x^2-49) is infinity

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limit as x approaches-7-of 1/(x^2-49)

x \to - 7 - lim (\frac{1}{x ^{2} - 49})

\infty

Solution steps

x \to - 7 - lim (\frac{1}{x ^{2} - 49})

For

x

approaching

- 7

from the left

, x < - 7 \Rightarrow x^{2} - 49 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int_{0}^{5} 3 f (x) d x

\frac{d y}{d x} = \frac{7 x}{y}

\int \frac{6}{x + 2} d x

n = 3 \sum \infty \frac{π ^{n}}{e ^{n}}

What is the limit as x approaches-7-of 1/(x^2-49) ?
The limit as x approaches-7-of 1/(x^2-49) is infinity