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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (\frac{3}{3 x + 4 + 4})

n \to \infty lim (\frac{( 10 - 3 n ) n !}{( n + 1 ) ! - ( n - 1 ) !})

x \to 5 lim (\frac{11}{x ^{2} - 25})

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

x \to - \infty lim (2 x^{3} - x^{2} - 7 x + 3)

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