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

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

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

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

\infty

Solution steps

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

For

x

approaching

6

from the right

, x > 6 \Rightarrow x - 6 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\int \frac{x ^{2}}{( x ^{2} - 4 ) ^{\frac{3}{2}}} d x

\frac{d y}{d x} = \frac{1 + y ^{2}}{1 + x ^{2}}

5 x^{\frac{1}{2}}

2 t y^{^{'}} - 4 y = 4 t^{4} e^{t^{2}}, y (1) = 0

\frac{d}{d x} (- \frac{6}{( 1 + x ) ^{4}})

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