This is a Test of Mathematics Solution Subjective 80 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

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If are positive numbers, then show that

.

We know that

L.H.S =

[ as , , & for all ]

=

= R.H.S [ proved ]