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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x=1998x=1998 !, then value of the expression 1log⁡2x+1log⁡3x\frac{1}{\log _{2} x}+\frac{1}{\log _{3} x} +……+1log⁡1998x+\ldots \ldots+\frac{1}{\log _{1998} \mathrm{x}} equals-
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Correct option: C
1
Option C (1) is correct because using the change of base formula and properties of logarithms simplifies the expression to 1.

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