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

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

Popular >

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

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

- \infty

Solution steps

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

\frac{x}{( 2 - x ) ^{3}} = x \frac{1}{( 2 - x ) ^{3}}

= x \to 2 + lim (x \frac{1}{( 2 - x ) ^{3}})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 2 + lim (x) \cdot x \to 2 + lim (\frac{1}{( 2 - x ) ^{3}})

x \to 2 + lim (x) = 2

x \to 2 + lim (\frac{1}{( 2 - x ) ^{3}}) = - \infty

= 2 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

y^{^{'}} + \frac{y}{x} - y = 0

\int \frac{3 x}{x ^{2} - x + 6} d x

\int x e^{- i w x} d x

\frac{d}{d θ} ((1 + 2 sin (θ)) cos (θ))

- 7 x^{5} - 1

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