What is the limit as x approaches 4-of 1/(x^2-16) ?

The limit as x approaches 4-of 1/(x^2-16) is -infinity

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limit as x approaches 4-of 1/(x^2-16)

x \to 4 - lim (\frac{1}{x ^{2} - 16})

- \infty

Solution steps

x \to 4 - lim (\frac{1}{x ^{2} - 16})

For

x

approaching

4

from the left

, x < 4 \Rightarrow x^{2} - 16 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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

y = ln (x^{2} - 4 x + 1), (4, 0)

\frac{1}{2 x + 8}

\frac{d}{d x} (x^{5 c o s (x)})

x \to \frac{π}{4} lim (\frac{tan ( 4 x )}{4 x - π})

What is the limit as x approaches 4-of 1/(x^2-16) ?
The limit as x approaches 4-of 1/(x^2-16) is -infinity