What is the limit as x approaches 3 of 4x^2-1/x ?

The limit as x approaches 3 of 4x^2-1/x is 107/3

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limit as x approaches 3 of 4x^2-1/x

x \to 3 lim (4 x^{2} - \frac{1}{x})

\frac{107}{3}

Decimal Notation

35.66666 \dots

Solution steps

x \to 3 lim (4 x^{2} - \frac{1}{x})

Plug in the value

x = 3

= 4 \cdot 3^{2} - \frac{1}{3}

Simplify

4 \cdot 3^{2} - \frac{1}{3} : \frac{107}{3}

= \frac{107}{3}

\int \frac{2 x ^{3} + 7 x ^{2} + 2 x + 9}{2 x + 3} d x

x e^{- x^{10}}

y^{^{'}} - 2 y = - 4 y^{3}

\int x^{3} e^{2} d x

\int (1 + t)^{2} d t

What is the limit as x approaches 3 of 4x^2-1/x ?
The limit as x approaches 3 of 4x^2-1/x is 107/3