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1\1^4+ 1\3^4 +1\5^4 +..................
= (1\1^4 +1\2^4 +1\3^4 +1\4^4 +..........) -( 1\2^4 +1\4^4 +1\6^4 +........)
=(1\1^4 +1\2^4 +1\3^4 +.........) -1\2^4 (1+1\2^4 +1\3^4 +.............)
=π^4\90 -1\16(π^4\90) =π^4\90(1-1\16) =π^4\96
m I right ?
= (1\1^4 +1\2^4 +1\3^4 +1\4^4 +..........) -( 1\2^4 +1\4^4 +1\6^4 +........)
=(1\1^4 +1\2^4 +1\3^4 +.........) -1\2^4 (1+1\2^4 +1\3^4 +.............)
=π^4\90 -1\16(π^4\90) =π^4\90(1-1\16) =π^4\96
m I right ?
Divyankasc:
Yup!! Thanks!
u r welcome
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hope it helps you.....
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