What is the limit as x approaches 4-of 1/(x^2-3x-4) ?

The limit as x approaches 4-of 1/(x^2-3x-4) is -infinity

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limit as x approaches 4-of 1/(x^2-3x-4)

x \to 4 - lim (\frac{1}{x ^{2} - 3 x - 4})

- \infty

Solution steps

x \to 4 - lim (\frac{1}{x ^{2} - 3 x - 4})

For

x

approaching

4

from the left

, x < 4 \Rightarrow x^{2} - 3 x - 4 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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

f (x) = (6 x - 2)^{2} \cdot (6 x^{2} + 3)^{5}

y = (2 x - 9)^{4} (x^{2} + x + 1)^{5}

\frac{d}{d x} (x^{2} (\frac{2}{x ^{2}} + \frac{5}{x ^{3}}))

\frac{d}{d x} (x^{3} + 2 x + 2)

What is the limit as x approaches 4-of 1/(x^2-3x-4) ?
The limit as x approaches 4-of 1/(x^2-3x-4) is -infinity