What is the limit as x approaches 7+of 3/(x-7) ?

The limit as x approaches 7+of 3/(x-7) is infinity

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limit as x approaches 7+of 3/(x-7)

x \to 7 + lim (\frac{3}{x - 7})

\infty

Solution steps

x \to 7 + lim (\frac{3}{x - 7})

For

x

approaching

7

from the right

, x > 7 \Rightarrow x - 7 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int_{5}^{\infty} \frac{1}{x ^{2} - 4} d x

\frac{d}{d x} (\frac{1}{4 x ^{2} + 2 x})

x \to 2 lim (2 + 3)

\frac{d}{d x} (\frac{x ^{3} + 3 x ^{2} - 5 x + 2}{3})

y^{^{'''}} - 2 y^{^{''}} - 3 y^{^{'}} = 0

What is the limit as x approaches 7+of 3/(x-7) ?
The limit as x approaches 7+of 3/(x-7) is infinity