What is the limit as x approaches 0 of (x+2)/(x+3) ?

The limit as x approaches 0 of (x+2)/(x+3) is 2/3

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limit as x approaches 0 of (x+2)/(x+3)

x \to 0 lim (\frac{x + 2}{x + 3})

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

x \to 0 lim (\frac{x + 2}{x + 3})

Plug in the value

x = 0

= \frac{0 + 2}{0 + 3}

Simplify

= \frac{2}{3}

x \to 7 - lim (\frac{1 - 8 x}{x - 7})

x \to 0 lim (2 ∣ x - 2 ∣ + 1)

x \to - 3 lim (\frac{3 x}{x ^{3} - 27})

x \to 3 lim (x csc (x))

x \to ab c lim (a x^{2} + b x + c)

What is the limit as x approaches 0 of (x+2)/(x+3) ?
The limit as x approaches 0 of (x+2)/(x+3) is 2/3