What is the limit as x approaches 2 of x^3-2x^2+x+1 ?

The limit as x approaches 2 of x^3-2x^2+x+1 is 3

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limit as x approaches 2 of x^3-2x^2+x+1

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

3

Solution steps

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

Plug in the value

x = 2

= 2^{3} - 2 \cdot 2^{2} + 2 + 1

Simplify

2^{3} - 2 \cdot 2^{2} + 2 + 1 : 3

= 3

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What is the limit as x approaches 2 of x^3-2x^2+x+1 ?
The limit as x approaches 2 of x^3-2x^2+x+1 is 3