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

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

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

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

3

Solution steps

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

Plug in the value

x = - 1

= (- 1)^{2} - (- 1) + 1

Simplify

(- 1)^{2} - (- 1) + 1 : 3

= 3

\int \frac{2 x}{( x ^{2} + 1 ) ^{2} - x ^{2}} d x

\int 7 tan^{3} (θ) d θ

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

y^{3} - (18 x + 2) + 3 x y^{2} y^{^{'}} = 0

y \to - 2 lim (\frac{y ^{3} + 2}{y + 2})

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