What is the limit as x approaches 0 of (4x^3)/(5x^4) ?

The limit as x approaches 0 of (4x^3)/(5x^4) is diverges

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limit as x approaches 0 of (4x^3)/(5x^4)

x \to 0 lim (\frac{4 x ^{3}}{5 x ^{4}})

diverges

Solution steps

x \to 0 lim (\frac{4 x ^{3}}{5 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{4 x ^{3}}{5 x ^{4}}) = \infty

x \to 0 - lim (\frac{4 x ^{3}}{5 x ^{4}}) = - \infty

= diverges

x \to \frac{1}{3} lim (\frac{x ^{2}}{x ^{4}})

x \to (a + 1) lim (x - 1)

x \to - 2 lim ((x^{2} + 4) (x - 7))

x \to 4 + lim (\frac{5}{x - 4})

x \to 8 - lim (f (x))

What is the limit as x approaches 0 of (4x^3)/(5x^4) ?
The limit as x approaches 0 of (4x^3)/(5x^4) is diverges