What is the limit as x approaches 45 of (x^2)/9-5/x ?

The limit as x approaches 45 of (x^2)/9-5/x is 2024/9

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limit as x approaches 45 of (x^2)/9-5/x

x \to 45 lim (\frac{x ^{2}}{9} - \frac{5}{x})

\frac{2024}{9}

Decimal

224.88888 \dots

Solution steps

x \to 45 lim (\frac{x ^{2}}{9} - \frac{5}{x})

Plug in the value

x = 45

= \frac{4 5 ^{2}}{9} - \frac{5}{45}

Simplify

\frac{4 5 ^{2}}{9} - \frac{5}{45} : \frac{2024}{9}

= \frac{2024}{9}

\frac{d}{d x} (sin^{5} (2 x))

\frac{\partial}{\partial x} (x e^{x^{2}})

x y^{^{'}} - x^{2} y = - x^{2}

x^{2} - 3 x + 2

\int_{- 4}^{0} 2 + 16 - x^{2} d x

What is the limit as x approaches 45 of (x^2)/9-5/x ?
The limit as x approaches 45 of (x^2)/9-5/x is 2024/9