What is the limit as x approaches 36 of (x^2)/9-4/x ?

The limit as x approaches 36 of (x^2)/9-4/x is 1295/9

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limit as x approaches 36 of (x^2)/9-4/x

x \to 36 lim (\frac{x ^{2}}{9} - \frac{4}{x})

\frac{1295}{9}

Decimal Notation

143.88888 \dots

Solution steps

x \to 36 lim (\frac{x ^{2}}{9} - \frac{4}{x})

Plug in the value

x = 36

= \frac{3 6 ^{2}}{9} - \frac{4}{36}

Simplify

\frac{3 6 ^{2}}{9} - \frac{4}{36} : \frac{1295}{9}

= \frac{1295}{9}

\int \frac{7}{4 + 7 x} d x

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

y^{^{'}} = \frac{3 y ^{2} - x ^{2}}{2 x y}

y^{^{'}} + sin (t) y = - sin (t), y (0) = 7

\frac{\partial}{\partial x} (\frac{1}{4} x^{a} y^{1 - a})

What is the limit as x approaches 36 of (x^2)/9-4/x ?
The limit as x approaches 36 of (x^2)/9-4/x is 1295/9