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

x \to 0 lim (lo g_{e} (∣ x ∣))

x \to \infty lim (ln (e x))

x \to 0 lim ((1 + x)^{\frac{1}{2}})

x \to 2 lim (x^{2} + 3 x - 3)

x \to - 3 lim (\frac{2 - 4 x}{5 x + 8})

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