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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{\partial}{\partial x} (x^{2} - y^{2} + 5 x y)

f (x) = 2 - x

y^{^{''}} - 4 y^{^{'}} + 2 y = 0, y (0) = 0, y^{^{'}} (0) = 9

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

\frac{d y}{d x} = \frac{3 x + 2}{y}

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