What is the limit as x approaches 32 of (x^2)/4-8/x ?

The limit as x approaches 32 of (x^2)/4-8/x is 1023/4

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limit as x approaches 32 of (x^2)/4-8/x

x \to 32 lim (\frac{x ^{2}}{4} - \frac{8}{x})

\frac{1023}{4}

Decimal Notation

255.75

Solution steps

x \to 32 lim (\frac{x ^{2}}{4} - \frac{8}{x})

Plug in the value

x = 32

= \frac{3 2 ^{2}}{4} - \frac{8}{32}

Simplify

\frac{3 2 ^{2}}{4} - \frac{8}{32} : \frac{1023}{4}

= \frac{1023}{4}

((- 3 cos (2 x) - sin (3 x) - 4)^{2})^{^{'}}

\int 6 - x d x

\int \frac{( arctan ( x ) )}{( 1 + x ^{2} )} d x

f (x) = 3 x^{2} - 5

x \to 4 - lim (f (x))

What is the limit as x approaches 32 of (x^2)/4-8/x ?
The limit as x approaches 32 of (x^2)/4-8/x is 1023/4