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Question

Mathematics Question on Logarithmic Differentiation

The value of 1log2N+1log3N+1log4N+....1log15N\frac{1}{log_2N}+\frac{1}{log_3N}+\frac{1}{log_4N}+....\frac{1}{log_15N} is

A

1log152N\frac{1}{log_15^2N}

B

logN(15!)2log_N(15!)^2

C

1logN(15!)\frac{1}{log_N}(15!)

D

logN(15)2log_N(15)^2

Answer

1log152N\frac{1}{log_15^2N}

Explanation

Solution

The correct option is(A): 1log152N\frac{1}{log_15^2N}