What is the limit as x approaches 3 of (x+3)/(x+6) ?

The limit as x approaches 3 of (x+3)/(x+6) is 2/3

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limit as x approaches 3 of (x+3)/(x+6)

x \to 3 lim (\frac{x + 3}{x + 6})

\frac{2}{3}

Decimal

0.66666 \dots

Solution steps

x \to 3 lim (\frac{x + 3}{x + 6})

Plug in the value

x = 3

= \frac{3 + 3}{3 + 6}

Simplify

\frac{3 + 3}{3 + 6} : \frac{2}{3}

= \frac{2}{3}

\int \frac{1}{t ^{2} - 10 t + 41} d t

f (x) = x^{2} arctan (5 x)

\int \frac{x + 5}{( x + 2 ) ( x - 1 )} d x

y = 5 + 5 x^{2} - 2 x^{3}, (1, 8)

x \to \infty lim (\frac{2}{3 x})

What is the limit as x approaches 3 of (x+3)/(x+6) ?
The limit as x approaches 3 of (x+3)/(x+6) is 2/3