What is the limit as x approaches-3+of 1/(6+2x) ?

The limit as x approaches-3+of 1/(6+2x) is infinity

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limit as x approaches-3+of 1/(6+2x)

x \to - 3 + lim (\frac{1}{6 + 2 x})

\infty

Solution steps

x \to - 3 + lim (\frac{1}{6 + 2 x})

For

x

approaching

- 3

from the right

, x > - 3 \Rightarrow 6 + 2 x > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

What is the limit as x approaches-3+of 1/(6+2x) ?
The limit as x approaches-3+of 1/(6+2x) is infinity