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

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

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

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

\frac{4}{3}

Decimal

1.33333 \dots

Solution steps

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

Plug in the value

x = - 3

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

Simplify

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

= \frac{4}{3}

\frac{\partial}{\partial x} ((x^{5} + y^{3})^{7})

\int \frac{z}{( s ^{2} + z ^{2} ) ^{\frac{3}{2}}} d z

m (x) = \frac{- x ^{2} + 6 x - 8}{- x ^{2} + 6 x - 2}

y = - 5 - 6 x^{2}, (- 4, - 101)

p (t) = 5 e^{0.0278 t}

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