What is the limit as x approaches 0 of (cos(x))/(2x) ?

The limit as x approaches 0 of (cos(x))/(2x) is diverges

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limit as x approaches 0 of (cos(x))/(2x)

x \to 0 lim (\frac{cos ( x )}{2 x})

diverges

Solution steps

x \to 0 lim (\frac{cos ( x )}{2 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 )}{2 x}) = \infty

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

= diverges

x \to 3 lim (\frac{53}{3 - x})

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

x \to 0 lim (- 1 + ln (x) x)

x \to 1 lim (\frac{x ^{4} + 3 x ^{3} - 13 x ^{2} - 27 x + 36}{x ^{2} + 3 x - 4})

x \to 0 lim (6 x + 2 e^{x} - 2)

What is the limit as x approaches 0 of (cos(x))/(2x) ?
The limit as x approaches 0 of (cos(x))/(2x) is diverges