What is the limit as x approaches 54 of (x^2)/6-9/x ?

The limit as x approaches 54 of (x^2)/6-9/x is 2915/6

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limit as x approaches 54 of (x^2)/6-9/x

x \to 54 lim (\frac{x ^{2}}{6} - \frac{9}{x})

\frac{2915}{6}

Decimal Notation

485.83333 \dots

Solution steps

x \to 54 lim (\frac{x ^{2}}{6} - \frac{9}{x})

Plug in the value

x = 54

= \frac{5 4 ^{2}}{6} - \frac{9}{54}

Simplify

\frac{5 4 ^{2}}{6} - \frac{9}{54} : \frac{2915}{6}

= \frac{2915}{6}

x \to 2 lim (5 x^{2} - 2 x + 3)

\int \frac{1}{49 - x ^{2}} d x

\frac{\partial}{\partial x} ((x^{2} + y) e^{3 x + 4 y})

\frac{d y}{d x} = 3 y + y^{4}

What is the limit as x approaches 54 of (x^2)/6-9/x ?
The limit as x approaches 54 of (x^2)/6-9/x is 2915/6