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 right

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 0 lim (x^{3} e^{\frac{1}{x}})

x \to 0 lim (\frac{sin ( x ) - 1}{x})

x \to 0 lim (\frac{1}{x} - \frac{1}{x ^{2}} - x)

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{3}{x ^{2}}) y = 0

n = 1 \sum \infty n - 1

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