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Question

The value of limn(a1+nba)n, (a>0,b>0) is equal to

A
ab
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B
ba
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C
b
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D
a
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Solution

The correct option is A ab
Here, limn(a1+nba)n
=limn(1+nb1a)n, 1 form
=elimn(nb1a)n
=elimn1ab1/n11/n
[limnb1/n11/n=lnb]
=elnba
=elnb1/a=b1/a=ab

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