What is the limit as x approaches 5 of (4-x)^{3/2} ?

The limit as x approaches 5 of (4-x)^{3/2} is -i

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limit as x approaches 5 of (4-x)^{3/2}

x \to 5 lim ((4 - x)^{\frac{3}{2}})

- i

Solution steps

x \to 5 lim ((4 - x)^{\frac{3}{2}})

Plug in the value

x = 5

= (4 - 5)^{\frac{3}{2}}

Simplify

(4 - 5)^{\frac{3}{2}} : - i

= - i

\int \frac{8 x ^{3}}{3} d x

(2 x - 1)^{2} ln (2 x - 1), at x = 0

\frac{d}{d x} (3 x^{2} cos (x^{3}))

\frac{d y}{d t} + 3 y = cos (2 t)

\frac{1}{5 s + 2}

What is the limit as x approaches 5 of (4-x)^{3/2} ?
The limit as x approaches 5 of (4-x)^{3/2} is -i