What is the limit as x approaches infinity of 1/(x(ln(x))^4) ?

The limit as x approaches infinity of 1/(x(ln(x))^4) is 0

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limit as x approaches infinity of 1/(x(ln(x))^4)

x \to \infty lim (\frac{1}{x ( ln ( x ) ) ^{4}})

0

Solution steps

x \to \infty lim (\frac{1}{x ( ln ( x ) ) ^{4}})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

With the exception of indeterminate form

= \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x ( ln ( x ) ) ^{4} )}

x \to \infty lim (1) = 1

x \to \infty lim (x (ln (x))^{4}) = \infty

= \frac{1}{\infty}

Apply Infinity Property:

\frac{c}{\infty} = 0

= 0

\int_{1}^{3} 1 + (x^{3} - \frac{1}{4 x ^{3}})^{2} d x

\frac{\partial}{\partial v} (uv)

\frac{\partial}{\partial z} (2 x^{4} y z^{3})

\frac{d}{d x} (\frac{3}{4 x ^{8}})

x y^{^{'}} + y = 6 x y^{2}, y (1) = - 4

What is the limit as x approaches infinity of 1/(x(ln(x))^4) ?
The limit as x approaches infinity of 1/(x(ln(x))^4) is 0