What is the limit as x approaches 0 of (1-c(5x))/(1-cos(3x)) ?

The limit as x approaches 0 of (1-c(5x))/(1-cos(3x)) is infinity

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limit as x approaches 0 of (1-c(5x))/(1-cos(3x))

x \to 0 lim (\frac{1 - c ( 5 x )}{1 - cos ( 3 x )})

\infty

Solution steps

x \to 0 lim (\frac{1 - c \cdot 5 x}{1 - cos ( 3 x )})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{1 - c \cdot 5 x}{1 - cos ( 3 x )}) = \infty

x \to 0 + lim (\frac{1 - c \cdot 5 x}{1 - cos ( 3 x )}) = \infty

= \infty

x \to \infty lim (\frac{5000}{20 + 30 e ^{- 0.03 x}})

x \to \infty lim (e^{xx})

x \to \infty lim (\frac{sin ( x - 3 )}{x - 3})

x \to \infty lim (\frac{1}{arctan ( x )})

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

What is the limit as x approaches 0 of (1-c(5x))/(1-cos(3x)) ?
The limit as x approaches 0 of (1-c(5x))/(1-cos(3x)) is infinity