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

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

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limit as x approaches-3-of x/(x+3)

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

\infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{3}{x}}

= x \to - 3 - lim (\frac{1}{1 + \frac{3}{x}})

For

x

approaching

- 3

from the left

, x < - 3 \Rightarrow 1 + \frac{3}{x} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim ((x) (ln (x))^{2})

\frac{d}{d x} (sin (x) x)

sin (a x)

\int \frac{1}{16 x ^{2} - 9} d x

\frac{\partial}{\partial x} (x y sin (y))

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