What is the limit as x approaches 5+of 2/((x-5)^3) ?

The limit as x approaches 5+of 2/((x-5)^3) is infinity

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limit as x approaches 5+of 2/((x-5)^3)

x \to 5 + lim (\frac{2}{( x - 5 ) ^{3}})

\infty

Solution steps

x \to 5 + lim (\frac{2}{( x - 5 ) ^{3}})

For

x

approaching

5

from the right

, x > 5 \Rightarrow (x - 5)^{3} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

θ \to 0 lim (\frac{sin ( 5 θ )}{θ})

x \to - 1 lim (x^{7} + 6 x^{2} - 8 x)

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

x \to 1 + lim (\frac{1}{x ^{2} - x})

x \to - 4 lim (16 - x^{2})

What is the limit as x approaches 5+of 2/((x-5)^3) ?
The limit as x approaches 5+of 2/((x-5)^3) is infinity