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

The limit as x approaches 0 of (f(2x))/x is Undefined

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

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

Undefined

Solution steps

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

Undefined

x \to 0 + lim (\frac{f ( 2 x )}{x}) =

Undefined

= Undefined

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

x \to - 1 lim (- x^{2} + 2 x + 3)

x \to 3 lim (\frac{e ^{1}}{x})

x \to - 8 lim (- f (x))

x \to 3 lim (\frac{2 x ^{3} + 1}{x})

What is the limit as x approaches 0 of (f(2x))/x ?
The limit as x approaches 0 of (f(2x))/x is Undefined