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

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

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

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

\infty

Solution steps

x \to - 4 - lim (\frac{2}{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 positive quantity approaching 0 from the right

= \infty

y^{^{''}} + y^{^{'}} + 20 y = 0

\int_{0}^{1} 6 cos (2 x) d x

\int_{2}^{6} \frac{1}{8} (x - 2) d x

2 e^{2 x + 1}

\int e^{x - 1} d x

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