What is the limit as x approaches 2-of 4/((x-2)^3) ?

The limit as x approaches 2-of 4/((x-2)^3) is -infinity

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limit as x approaches 2-of 4/((x-2)^3)

x \to 2 - lim (\frac{4}{( x - 2 ) ^{3}})

- \infty

Solution steps

x \to 2 - lim (\frac{4}{( x - 2 ) ^{3}})

For

x

approaching

2

from the left

, x < 2 \Rightarrow (x - 2)^{3} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

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\frac{\partial}{\partial y} (5 x^{4} y)

\frac{d}{d x} (5^{x} - 1)

\frac{sin ( x ) + cos ( x )}{e ^{x}}

What is the limit as x approaches 2-of 4/((x-2)^3) ?
The limit as x approaches 2-of 4/((x-2)^3) is -infinity