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

The limit as x approaches 3 of (x^2+1)/(x+3) is 5/3

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

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

\frac{5}{3}

Decimal Notation

1.66666 \dots

Solution steps

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

Plug in the value

x = 3

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

Simplify

\frac{3 ^{2} + 1}{3 + 3} : \frac{5}{3}

= \frac{5}{3}

y^{^{'}} = y, y (1) = 1

\int \frac{x}{1 - x ^{2}} d x

\frac{d}{d x} (arccos (4 x))

\frac{\partial}{\partial y} (ln ∣ x + y ∣)

\frac{d y}{d x} = e^{3 y + 10 x}

What is the limit as x approaches 3 of (x^2+1)/(x+3) ?
The limit as x approaches 3 of (x^2+1)/(x+3) is 5/3