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Evaluate underset(xtoa)lim((x+2)^(5//3)-...

Evaluate `underset(xtoa)lim((x+2)^(5//3)-(a+2)^(5//3))/(x-a).`

Text Solution

Verified by Experts

The correct Answer is:
`5/2(a+2)^(3//2)`
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Evaluate lim_(xtoa) ((x+2)^(5//3)-(a+2)^(5//3))/(x-a).

Evaluate: lim_(x rarr a)((x+2)^((5)/(3))-(a+2)^((5)/(3)))/(x-a)

Knowledge Check

  • Evaluate: lim_(xtoa)(x^(3//5)-a^(3//5))/(x^(1//3)-a^(1//3))

    A
    `a^(4//15)`
    B
    `9/5a^(4//15)`
    C
    `5/9a^(4//15)`
    D
    `1/9 a^(15//4)`

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