What is the limit as x approaches 1+of 4/((x-1)^3) ?

The limit as x approaches 1+of 4/((x-1)^3) is infinity

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limit as x approaches 1+of 4/((x-1)^3)

x \to 1 + lim (\frac{4}{( x - 1 ) ^{3}})

\infty

Solution steps

x \to 1 + lim (\frac{4}{( x - 1 ) ^{3}})

For

x

approaching

1

from the right

, x > 1 \Rightarrow (x - 1)^{3} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{\partial}{\partial x} (- 3 cos (2 x))

\int \frac{5}{1 - 9 x ^{2}} + 7 x d x

\frac{\partial}{\partial x} (y^{2} - 2 x y)

\frac{d}{d x} (\frac{x}{2})

f (x) = \frac{5}{x}, at x = 4, x = 5

What is the limit as x approaches 1+of 4/((x-1)^3) ?
The limit as x approaches 1+of 4/((x-1)^3) is infinity