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

The limit as x approaches-3 of x/x+1/3 is 4/3

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

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

\frac{4}{3}

Decimal Notation

1.33333 \dots

Solution steps

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

Plug in the value

x = - 3

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

Simplify

\frac{- 3}{- 3} + \frac{1}{3} : \frac{4}{3}

= \frac{4}{3}

\frac{d}{d x} (x ln ∣ cos (x) ∣)

\int \frac{sin ( 8 x )}{8} d x

\int \frac{13}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

\frac{d y}{d x} = y e^{- x^{2}}, y (4) = 1

y^{2} \frac{d y}{d x} = 3 x^{2} y^{3} - 6 x^{2}

What is the limit as x approaches-3 of x/x+1/3 ?
The limit as x approaches-3 of x/x+1/3 is 4/3