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

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

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

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

- \infty

Solution steps

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

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

= - \infty

f (x) = 14 x

y = tan^{2} (8 x)

\int 42 x (x + 1)^{5} d x

\int \frac{1}{2 x ^{2} + 5} d x

\int tan (4 x) sec^{2} (4 x) d x

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