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

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

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limit as x approaches 2 of (x^2+4)/(x+2)

x \to 2 lim (\frac{x ^{2} + 4}{x + 2})

2

Solution steps

x \to 2 lim (\frac{x ^{2} + 4}{x + 2})

Plug in the value

x = 2

= \frac{2 ^{2} + 4}{2 + 2}

Simplify

= 2

(4 x^{2} + 5) (4 x - 3)

\frac{7}{s ^{2} - 9}

\int_{- 1}^{1} f (x) d x

\int (2 x - x^{2}) d x

x \to 0 lim ([x^{2}] - [x^{3}])

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