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

The limit as x approaches 8 of (x^2)/4-2/x is 63/4

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

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

\frac{63}{4}

Decimal Notation

15.75

Solution steps

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

Plug in the value

x = 8

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

Simplify

\frac{8 ^{2}}{4} - \frac{2}{8} : \frac{63}{4}

= \frac{63}{4}

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

\frac{d}{d x} (x - b ln (x))

\frac{3 s + 7}{s ^{2} + 4 s + 3}

\frac{d}{d x} (f (x) x)

\frac{d}{d x} (\frac{2 x + 8 x ^{2}}{( 1 + 8 x ) ^{2}})

What is the limit as x approaches 8 of (x^2)/4-2/x ?
The limit as x approaches 8 of (x^2)/4-2/x is 63/4