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

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

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

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

- \infty

Solution steps

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

Simplify

\frac{t + 2}{t ^{2} - 4} : \frac{1}{t - 2}

= t \to 2 - lim (\frac{1}{t - 2})

For

t

approaching

2

from the left

, t < 2 \Rightarrow t - 2 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int (9 x^{2} - 8 x + 4) d x

n = 1 \sum \infty 8 (\frac{1}{5})^{n}

\frac{d}{d x} ((5 x)^{7 x})

x \to 0 + lim (\frac{5 x}{sin ( x )})

\frac{d}{d t} (e^{r t})

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