What is the limit as x approaches 1 of (x-2)(x^2-6x) ?

The limit as x approaches 1 of (x-2)(x^2-6x) is 5

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limit as x approaches 1 of (x-2)(x^2-6x)

x \to 1 lim ((x - 2) (x^{2} - 6 x))

5

Solution steps

x \to 1 lim ((x - 2) (x^{2} - 6 x))

Plug in the value

x = 1

= (1 - 2) (1^{2} - 6 \cdot 1)

Simplify

(1 - 2) (1^{2} - 6 \cdot 1) : 5

= 5

What is the limit as x approaches 1 of (x-2)(x^2-6x) ?
The limit as x approaches 1 of (x-2)(x^2-6x) is 5