find the value

the estimated value of 11000 + 11001 + 11002 +.............. 12000

2 Answers

39
Pritish Chakraborty ·

Sum of HP toh course mein nahi hai...but
http://demonstrations.wolfram.com/TheSumOfTheHarmonicProgressionAsAnIntegral/

Try this. Dunno if there are other ways to solve, haven't touched this topic as yet.

1
xYz ·

here is the proof for what pritish told:
becuase if we evaluate this integral:
\int \frac{(1-x^{n})}{(1-x)}
this is :
\int (1+x+x^{2}+x^{3}+...............)
this gives H.P summation if the limits vary from 0-1

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