What is the limit as x approaches 4 of-1/(x^{3/2)} ?

The limit as x approaches 4 of-1/(x^{3/2)} is -1/8

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limit as x approaches 4 of-1/(x^{3/2)}

x \to 4 lim (- \frac{1}{x ^{\frac{3}{2}}})

- \frac{1}{8}

Decimal Notation

- 0.125

Solution steps

x \to 4 lim (- \frac{1}{x ^{\frac{3}{2}}})

Plug in the value

x = 4

= - \frac{1}{4 ^{\frac{3}{2}}}

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

= - \frac{1}{8}

\int e^{- x} 2 x d x

(4 x y + y^{2}) d x + (2 x^{2} + 2 x y) d y = 0

\frac{d y}{d x} = \frac{x - 1}{y - 1}

\int (x + 5)^{3} d x

\frac{d}{d x} (\frac{2 x}{1 - x ^{2}})

What is the limit as x approaches 4 of-1/(x^{3/2)} ?
The limit as x approaches 4 of-1/(x^{3/2)} is -1/8