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

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

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

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

\frac{3}{4}

Decimal

0.75

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{3}{4}

\frac{d}{d x} (\frac{x ^{3}}{x ^{2} - 4})

\frac{d}{d x} (\frac{1 + csc ( x ^{6} )}{1 - cot ( x ^{6} )})

y = x^{2} - 7 x + 6, x = 2, x = 6

ln (121 sin^{2} (x))

x \to - 5 lim (\frac{\frac{1}{5} + \frac{1}{x}}{5 + x})

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