24thanx
Let m,n ε N ,n>m,then
\sum_{k=m}^{n}{u_k(v_{k+1}-v_k)}\equiv \left|u_kv_k \right|_{m} ^{n+1} -\sum_{k=m}^{n}{v_{k+1}(u_{k+1}-u_k)}
This is called Summation by parts
My question is ...is this of any use for JEE ????
if yes then plz tell my types of ques where this one can be used
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2 Answers
62No...
A definite one..
Even thought there is no in principle difference in integration by parts and this one..
I dont see much utility.. (Not to mean that there isnt any) but most of those problems can anyway be solved... mostly by converting them to telescopic sums and another infinite sum that is easy to solve...