What is the limit as x approaches 0 of (6x)/(x^4) ?

The limit as x approaches 0 of (6x)/(x^4) is diverges

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limit as x approaches 0 of (6x)/(x^4)

x \to 0 lim (\frac{6 x}{x ^{4}})

diverges

Solution steps

x \to 0 lim (\frac{6 x}{x ^{4}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{6 x}{x ^{4}}) = \infty

x \to 0 - lim (\frac{6 x}{x ^{4}}) = - \infty

= diverges

x \to π + lim (\frac{π}{sin ( π )})

\int - cos (x) + C x + C d x

f (x) = 4 x - 5

\frac{d}{d x} (\frac{9 - x e ^{x}}{x + e ^{x}})

\frac{x ^{2}}{8}

What is the limit as x approaches 0 of (6x)/(x^4) ?
The limit as x approaches 0 of (6x)/(x^4) is diverges