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Question

limn{logn1(n)logn(n+1)logn+1(n+2)log(nk1)(nk)} is equal to

A
n
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B
k
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C
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D
None of these
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Solution

The correct option is B k
limn{logenloge(n1)×loge(n+1)logen×loge(n+2)loge(n+1)××logenkloge(nk1)}limn[logenkloge(n1)]=klimnlogenloge(n1)Let h=12, thenklimnloge(1h)loge(11h)=klimnloge(h)loge(1h)loge(h)=klimn1{1loge(1h)loge(h)}=k.1(10)=k

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