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

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

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

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

2

Solution steps

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

Plug in the value

x = 2

= \frac{2 ^{2} + 2}{2 + 1}

Simplify

= 2

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