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  4. log 10( log 2 3)+ log 10( log 3 4)+ log 10( log 4 5)+ ldots ldots ldots+ log 10( log 1023 1024) simplifies to

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Q. $\log _{10}\left(\log _2 3\right)+\log _{10}\left(\log _3 4\right)+\log _{10}\left(\log _4 5\right)+\ldots \ldots \ldots+\log _{10}\left(\log _{1023} 1024\right)$ simplifies to

Continuity and Differentiability

Solution:

Correct answer is (d) an integer