What is the limit as x approaches 0 of 1-(cos(5x))/x ?

The limit as x approaches 0 of 1-(cos(5x))/x is diverges

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limit as x approaches 0 of 1-(cos(5x))/x

x \to 0 lim (1 - \frac{cos ( 5 x )}{x})

diverges

Solution steps

x \to 0 lim (1 - \frac{cos ( 5 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 (1 - \frac{cos ( 5 x )}{x}) = - \infty

x \to 0 - lim (1 - \frac{cos ( 5 x )}{x}) = \infty

= diverges

(2.3) (4.3)

\frac{d}{d x} (- 12 x sin (x^{2}) - 8 x^{3} cos (x^{2}))

x \to π lim (tan (x))

y = x^{2} e^{x} - 2 x e^{x} + 7 e^{x}

x^{2} y^{^{''}} + 7 x y^{^{'}} + 8 y = \frac{6}{x}

What is the limit as x approaches 0 of 1-(cos(5x))/x ?
The limit as x approaches 0 of 1-(cos(5x))/x is diverges