What is the limit as x approaches 0 of (x^5-2)/(x^4) ?

The limit as x approaches 0 of (x^5-2)/(x^4) is -infinity

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limit as x approaches 0 of (x^5-2)/(x^4)

x \to 0 lim (\frac{x ^{5} - 2}{x ^{4}})

- \infty

Solution steps

x \to 0 lim (\frac{x ^{5} - 2}{x ^{4}})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x ^{5} - 2}{x ^{4}}) = - \infty

x \to 0 + lim (\frac{x ^{5} - 2}{x ^{4}}) = - \infty

= - \infty

\frac{( e ^{x} )}{5 x ^{2}}

\frac{1}{s ( s + 1 ) ( s + 5 )}

- 3 (t - 1)

y^{^{'}} = - 4 y + 57

e^{x} d x - y d y = 0, y (0) = 1

What is the limit as x approaches 0 of (x^5-2)/(x^4) ?
The limit as x approaches 0 of (x^5-2)/(x^4) is -infinity