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ques no 42

Asked by chandanbr6004 30th November 2017, 9:40 PM
Answered by Expert
Answer:
begin mathsize 16px style 1 minus 1 fifth plus fraction numerator 1.4 over denominator 5.10 end fraction minus fraction numerator 1.4.7 over denominator 5.10.15 end fraction plus..........
the space above space series space is space similar space to
open parentheses 1 plus straight x close parentheses to the power of straight n equals 1 plus nx plus fraction numerator straight n left parenthesis straight n minus 1 right parenthesis over denominator 2 factorial end fraction straight x squared plus fraction numerator straight n left parenthesis straight n minus 1 right parenthesis left parenthesis straight n minus 2 right parenthesis over denominator 3 factorial end fraction straight x cubed plus.......
comparing space terms
nx equals negative 1 fifth.......... straight x equals negative fraction numerator 1 over denominator 5 straight n end fraction.... left parenthesis 1 right parenthesis
fraction numerator straight n left parenthesis straight n minus 1 right parenthesis over denominator 2 factorial end fraction straight x squared equals fraction numerator 1.4 over denominator 5.10 end fraction.... left parenthesis 2 right parenthesis
straight n equals negative 1 third comma space space space straight x equals negative 3 over 5
so space our space sum space is
open parentheses 1 minus 3 over 5 close parentheses to the power of negative 1 third space space end exponent equals open parentheses 2 over 5 close parentheses to the power of negative 1 third end exponent equals open parentheses 5 over 2 close parentheses to the power of 1 third end exponent
end style
Answered by Expert 6th December 2017, 2:59 PM
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