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

The limit as x approaches 2-of (x^2+1)/(x+2) is 5/4

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

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

\frac{5}{4}

Decimal

1.25

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{5}{4}

x \to 0 lim (\frac{8 ^{x} - 3 ^{x}}{x})

x \to 0 lim (1 - \frac{3}{x}^{x})

n \to \infty lim (\frac{- 1}{n})

x \to 2 lim (\frac{[ x ] - 2}{x - 2})

x \to 0 lim (\frac{( 1 + x )}{8 + x})

What is the limit as x approaches 2-of (x^2+1)/(x+2) ?
The limit as x approaches 2-of (x^2+1)/(x+2) is 5/4