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

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

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limit as x approaches-2-of x/(x+2)

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{2}{x}}

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

For

x

approaching

- 2

from the left

, x < - 2 \Rightarrow 1 + \frac{2}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{1}{( e ^{x} - 3 ) ^{2}} d x

x \to 64 lim (x^{\frac{2}{3}})

e^{- t} \cdot sin (t)

\int x d (ln (x)) d x

\int \frac{x}{5 + x} d x

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