What is the limit as x approaches 0+of (l(x))/(x^3) ?

The limit as x approaches 0+of (l(x))/(x^3) is infinity

Popular >

limit as x approaches 0+of (l(x))/(x^3)

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

\infty

Solution steps

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

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

= l \cdot x \to 0 + lim (\frac{x}{x ^{3}})

Cancel the common factor:

x

= l \cdot x \to 0 + lim (\frac{1}{x ^{2}})

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= l \cdot \infty

Simplify

l \cdot \infty : \infty

= \infty

x \to 8 lim (\frac{4}{( x - 8 ) ^{2}})

\frac{d}{d x} (cos^{3} (x) + sin^{4} (x))

\frac{\partial}{\partial x} (8 ln (cos (x)))

\frac{\partial}{\partial x} (5 sin (3 x) cos (4 y))

y^{^{'}} = - 2 y + 5 t, y (0) = - 4

What is the limit as x approaches 0+of (l(x))/(x^3) ?
The limit as x approaches 0+of (l(x))/(x^3) is infinity