What is the limit as x approaches 0-of (-1/2)/(4x) ?

The limit as x approaches 0-of (-1/2)/(4x) is infinity

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limit as x approaches 0-of (-1/2)/(4x)

x \to 0 - lim (\frac{- \frac{1}{2}}{4 x})

\infty

Solution steps

x \to 0 - lim (\frac{- \frac{1}{2}}{4 x})

For

x

approaching

0

from the left

, x < 0 \Rightarrow 4 x < 0

The denominator is a negative quantity approaching 0 from the left

= \infty

e^{(- x^{2})}

\int 5^{- x - 2} d x

\int 2 x e^{- x^{2}} d x

\int \frac{1}{( x ^{2} + 4 x + 5 ) ^{2}} d x

\int \frac{1}{( x + 4 ) ( x + 8 )} d x

What is the limit as x approaches 0-of (-1/2)/(4x) ?
The limit as x approaches 0-of (-1/2)/(4x) is infinity