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Metric Space - Introduction - 18:44
Sir tell me about this seriesIf S=1+2+3+4+5+6+7+8+9+......Now associate like thisS=1+(2+3+4)+(5+6+7)+(8+9+10)... Now S can be written as S=1+9(1+2+3....)=1+9*S which implies S =-1/8 Why is so ?. Please please explain in brief sir.
This series is not a convergent series so we cannot talk about the sum of the series
Also you cannot just randomly go about rearranging the series
Norm of vector, metric space.introduction.
sir what is nth partial sum
It is the sum of first n terms of an infinite series.
Sir why we need of rearrangement??
it is to observe that even if two series contain same elements (not in same order ) , their sum can be different
nice
Metric Space - Introduction - 18:44
Sir tell me about this series
If S=1+2+3+4+5+6+7+8+9+......
Now associate like this
S=1+(2+3+4)+(5+6+7)+(8+9+10)...
Now S can be written as
S=1+9(1+2+3....)=1+9*S which implies S =-1/8
Why is so ?. Please please explain in brief sir.
This series is not a convergent series so we cannot talk about the sum of the series
Also you cannot just randomly go about rearranging the series
Norm of vector, metric space.introduction.
sir what is nth partial sum
It is the sum of first n terms of an infinite series.
Sir why we need of rearrangement??
it is to observe that even if two series contain same elements (not in same order ) , their sum can be different
nice