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

The limit as x approaches-3 of (5-x)^{4/3} is 16

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

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

16

Solution steps

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

Plug in the value

x = - 3

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

Simplify

(5 - (- 3))^{\frac{4}{3}} : 16

= 16

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(2 x^{2} y + 2 y + 5) d x + (2 x^{3} + 2 x) d y = 0

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What is the limit as x approaches-3 of (5-x)^{4/3} ?
The limit as x approaches-3 of (5-x)^{4/3} is 16