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Question

If n > 1, the value of 1log2n+1log3n+....+1log53n is


A

1log53!n

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B

1

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C

1logn!53

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D

None of these.

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Solution

The correct option is A

1log53!n


The given expression is equal to logn2+logn3+...logn53=logn53!=1log53!n


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