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Q.

limx→a (x+2)5/3−(a+2)5/3x−a is equal to

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a

53(a+2)2/3

b

35(a+3)5/3

c

35(a+3)1/2

d

53(a+2)3/2

answer is A.

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Detailed Solution

limx→a (x+2)5/3−(a+2)5/3x−a=limx→a (x+2)5/3−(a+2)5/3(x+2)−(a+2)=limx→a y5/3−b5/3y−bwhere x+2=y and a+2=b =53b5/3−1=53b2/3=53(a+2)2/3
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