What is the limit as x approaches 5+of 6/(x-5) ?

The limit as x approaches 5+of 6/(x-5) is infinity

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limit as x approaches 5+of 6/(x-5)

x \to 5 + lim (\frac{6}{x - 5})

\infty

Solution steps

x \to 5 + lim (\frac{6}{x - 5})

For

x

approaching

5

from the right

, x > 5 \Rightarrow x - 5 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (x^{3} cos (\frac{6}{x}))

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

\int 3 x^{\frac{1}{2}} d x

y = x^{3} + 3 x^{2} + 2

\frac{d}{d x} \frac{e ^{- t}}{( x ^{2} + y ( t , x ) ^{2} ) ^{2}}

What is the limit as x approaches 5+of 6/(x-5) ?
The limit as x approaches 5+of 6/(x-5) is infinity