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

The limit as x approaches-3 of (3/x+1)/(x+3) is -1/3

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

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

- \frac{1}{3}

Decimal Notation

- 0.33333 \dots

Solution steps

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

Simplify

\frac{\frac{3}{x} + 1}{x + 3} : \frac{1}{x}

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

Plug in the value

x = - 3

= \frac{1}{- 3}

Simplify

= - \frac{1}{3}

\frac{d y}{d x} = 2 y + x^{2} + 5

y^{^{'}} + \frac{3}{2} y = 1 - \frac{1}{3} t

\frac{d}{d x} ((3 x^{2} - 9)^{- 13})

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

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

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