What is the limit as x approaches 0 of (4/x-1)x ?

The limit as x approaches 0 of (4/x-1)x is 4

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limit as x approaches 0 of (4/x-1)x

x \to 0 lim ((\frac{4}{x} - 1) x)

4

Solution steps

x \to 0 lim ((\frac{4}{x} - 1) x)

Simplify

(\frac{4}{x} - 1) x : 4 - x

= x \to 0 lim (4 - x)

Plug in the value

x = 0

= 4 - 0

Simplify

= 4

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What is the limit as x approaches 0 of (4/x-1)x ?
The limit as x approaches 0 of (4/x-1)x is 4