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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 + lim ((x + sin (x))^{x})

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

x \to 0 lim (\frac{1}{x} - \frac{1}{x ^{3} - x})

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

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

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