What is the limit as x approaches-3+of 1/(x+3) ?

The limit as x approaches-3+of 1/(x+3) is infinity

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limit as x approaches-3+of 1/(x+3)

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

\infty

Solution steps

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

For

x

approaching

- 3

from the right

, x > - 3 \Rightarrow x + 3 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

f (x) = - x^{3} + 4 x^{2}, at x = 3

y = x^{3} - 2 x^{2} + 3, y = 3 x^{2} + 5 x - 22

y = x^{\frac{15}{14}}, y = 13 x^{\frac{1}{14}}

\frac{d}{d x} (x^{3} + 3 x)

What is the limit as x approaches-3+of 1/(x+3) ?
The limit as x approaches-3+of 1/(x+3) is infinity