What is the limit as x approaches 2-of 4/((x-2)^5) ?

The limit as x approaches 2-of 4/((x-2)^5) is -infinity

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limit as x approaches 2-of 4/((x-2)^5)

x \to 2 - lim (\frac{4}{( x - 2 ) ^{5}})

- \infty

Solution steps

x \to 2 - lim (\frac{4}{( x - 2 ) ^{5}})

For

x

approaching

2

from the left

, x < 2 \Rightarrow (x - 2)^{5} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

y^{^{'}} - y = 4 sin (3 t)

\frac{1}{s - 1}

n = 4 \sum \infty \frac{1}{( n ) ( n + 1 )}

\int_{0}^{x} \frac{1}{( 1 - x )} d x

x \to 0 lim (\frac{1}{1 - e ^{x}})

What is the limit as x approaches 2-of 4/((x-2)^5) ?
The limit as x approaches 2-of 4/((x-2)^5) is -infinity