MCQ
જો $n = \,\,1000\,!\,$ તો $\frac{1}{{{{\log }_2}n}}\, + \,\,\frac{1}{{{{\log }_3}n}}\,\, + \,\,...\, + \,\,\,\frac{1}{{{{\log }_{1000}}n}} = ......$
- A$0$
- ✓$1$
- C$10$
- D$1000$
$ = \,\,\frac{{\log 2\, + \,\log 3\, + \,\,...\,\, + \,\,\log 1000}}{{\log n}}\,\,\,\,\,$
$ = \,\,\,\,\frac{{\log \,(2\,\,.\,\,3\,\,.\,4\,....\,\,1000)}}{{\log \,1000\,!}}\,\, = \,\,\,\frac{{\log \,1000!}}{{\log \,1000!}}\,\, = \,\,1$
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