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

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

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

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

Undefined

Solution steps

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

Undefined

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

Undefined

= Undefined

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

x \to 3 lim (6 x^{3} + 5 x)

x \to \infty lim (\frac{b}{x})

x \to 5 lim (\frac{x}{( x - 5 ) ^{4}})

x \to - \infty lim (x^{2} - 9)

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