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

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

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

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

\infty

Solution steps

x \to 3 + lim (\frac{2}{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

y^{^{'}} = y - 4 y^{2}

y^{^{'}} = \frac{x ^{2}}{y ( 1 + x ^{3} )}

\frac{d}{d x} (2^{c o t (5 x)})

\frac{d}{d x} (\frac{1}{x ( ln ( x ) ) ^{2}})

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

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