What is the limit as x approaches 0 of (cos(x)-x)/x ?

The limit as x approaches 0 of (cos(x)-x)/x is diverges

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limit as x approaches 0 of (cos(x)-x)/x

x \to 0 lim (\frac{cos ( x ) - x}{x})

diverges

Solution steps

x \to 0 lim (\frac{cos ( x ) - x}{x})

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

then the limit does not exist

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

x \to 0 - lim (\frac{cos ( x ) - x}{x}) = - \infty

= diverges

y = x^{3}, y = x^{\frac{1}{2}}

\frac{\partial}{\partial x} (x^{3} + 4 x^{2} + x^{4} + 3 x^{5})

\int_{0}^{6 π} x^{2} sin (2 x) d x

ln (x^{2} - 4 x + 1)

\frac{\partial}{\partial y} (x \cdot y^{2})

What is the limit as x approaches 0 of (cos(x)-x)/x ?
The limit as x approaches 0 of (cos(x)-x)/x is diverges