What is the limit as x approaches 6 of (2x+7)/(x+3) ?

The limit as x approaches 6 of (2x+7)/(x+3) is 19/9

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limit as x approaches 6 of (2x+7)/(x+3)

x \to 6 lim (\frac{2 x + 7}{x + 3})

\frac{19}{9}

Decimal

2.11111 \dots

Solution steps

x \to 6 lim (\frac{2 x + 7}{x + 3})

Plug in the value

x = 6

= \frac{2 \cdot 6 + 7}{6 + 3}

Simplify

= \frac{19}{9}

x^{2} + 2 x + 1, 2 x + 5, [- 2, 2]

\int_{0}^{π} sin (3 x) d x

\frac{d y}{d x} = y^{2} sin (x^{2}), y (- 5) = \frac{1}{7}

\frac{d}{d x} ((x - π) sin (y) + sin (x) cos (y))

f (x) = 2 lo g_{5} (x)

What is the limit as x approaches 6 of (2x+7)/(x+3) ?
The limit as x approaches 6 of (2x+7)/(x+3) is 19/9