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 right

, t > 2 \Rightarrow t - 2 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

6 sin (x)

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

\int \frac{1}{y ln ^{2} ( y )} d y

\int \frac{( x ^{2} + 9 )}{x ^{2} + 2 x + 3} d x

y^{^{''}} + y^{^{'}} = e^{x}

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