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

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

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

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

\infty

Solution steps

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

For

x

approaching

2

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int 5 x e^{10 x} d x

x \to 0 + lim (\frac{x ^{2} - 3 x + 2}{x ^{3} - 2 x ^{2}})

ln (2 + 5 x)

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

x \to 0 lim (\frac{5}{x} - \frac{5}{e ^{x} - 1})

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