What is the limit as x approaches 30 of (x^2)/6-5/x ?

The limit as x approaches 30 of (x^2)/6-5/x is 899/6

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limit as x approaches 30 of (x^2)/6-5/x

x \to 30 lim (\frac{x ^{2}}{6} - \frac{5}{x})

\frac{899}{6}

Decimal Notation

149.83333 \dots

Solution steps

x \to 30 lim (\frac{x ^{2}}{6} - \frac{5}{x})

Plug in the value

x = 30

= \frac{3 0 ^{2}}{6} - \frac{5}{30}

Simplify

\frac{3 0 ^{2}}{6} - \frac{5}{30} : \frac{899}{6}

= \frac{899}{6}

\frac{d}{d x} (\frac{4 x - 5}{3 x + 2})

\frac{\partial}{\partial x} (e^{- 3 x^{2} - 5 y^{2}})

\int \frac{- 2 ln ( x )}{x ^{2}} d x

\int \frac{e ^{- x} ( 3 - 3 x ln ( x ) )}{2 x} d x

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

What is the limit as x approaches 30 of (x^2)/6-5/x ?
The limit as x approaches 30 of (x^2)/6-5/x is 899/6