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

The limit as x approaches 2 of (x^2-2x+2)/x is 1

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limit as x approaches 2 of (x^2-2x+2)/x

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

1

Solution steps

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

Plug in the value

x = 2

= \frac{2 ^{2} - 2 \cdot 2 + 2}{2}

Simplify

= 1

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

x \to \infty lim ((- 2)^{x})

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

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

x \to 0 lim (12 x cot (9 x))

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