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

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

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

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

\frac{3}{2}

Decimal Notation

1.5

Solution steps

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

Plug in the value

x = 3

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

Simplify

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

= \frac{3}{2}

x \to 0 lim (\frac{2 x}{1 + x ^{2}})

x \to 0 lim (\frac{x ^{2} + x + 1}{x})

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

x \to 4 lim (5 x^{2} - 9 x - 3)

x \to 0 + lim (- 4 ln (x))

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