What is the limit as x approaches 0 of ((4x-x^2))/x ?

The limit as x approaches 0 of ((4x-x^2))/x is 4

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limit as x approaches 0 of ((4x-x^2))/x

x \to 0 lim (\frac{( 4 x - x ^{2} )}{x})

4

Solution steps

x \to 0 lim (\frac{4 x - x ^{2}}{x})

Simplify

\frac{4 x - x ^{2}}{x} : 4 - x

= x \to 0 lim (4 - x)

Plug in the value

x = 0

= 4 - 0

Simplify

= 4

x \to - 2 lim (3 x^{3} + x - 2021)

x \to 0 + lim ((1 - x)^{l n (x)})

x \to 0 + lim (\frac{7}{x} - ln (x))

x \to 0 lim (\frac{3 ^{1 - \frac{1}{x}} - 2}{3 ^{- \frac{1}{x}} + 1})

x \to - 5 - lim (\frac{4 x ^{2} - 12}{x + 5})

What is the limit as x approaches 0 of ((4x-x^2))/x ?
The limit as x approaches 0 of ((4x-x^2))/x is 4