What is the limit as x approaches 3 of (x+1)/(2x+3) ?

The limit as x approaches 3 of (x+1)/(2x+3) is 4/9

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limit as x approaches 3 of (x+1)/(2x+3)

x \to 3 lim (\frac{x + 1}{2 x + 3})

\frac{4}{9}

Decimal Notation

0.44444 \dots

Solution steps

x \to 3 lim (\frac{x + 1}{2 x + 3})

Plug in the value

x = 3

= \frac{3 + 1}{2 \cdot 3 + 3}

Simplify

= \frac{4}{9}

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x \to 0 + lim ((15 tan (x))^{x})

x \to - \frac{π}{2} lim (1 + cos (x))

x \to 2 lim (+ \frac{3 x + 1}{2 - x})

x \to \frac{3 π}{4} lim (sec (x))

What is the limit as x approaches 3 of (x+1)/(2x+3) ?
The limit as x approaches 3 of (x+1)/(2x+3) is 4/9