21is da ANSWER = 0.5
This is a very very very very old and well known thing of higher mathematics...
Though I am giving you a very simple part or the simple part of that thoery...
A line is of length 1.
1/3rd of the segment is removed from the middle.
From the remaining parts, 1/3rd fo the remaining lengths is removed again...
This process is repeated again and again...
What is the total length removed/Remaining?
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16 Answers
39is it the sum of the series \frac{1}{3} + \frac{2}{9} + \frac{4}{27} +\frac{8}{81} + ...................
21yah!
hum dono ne same socha....
now jus subtract this infinte GP frm 1..... U'll get 1/2 as da ans!!!
1ya tapan deserved a pink...................but i dint understand logically??? hw wud half remain???
62that is the interesting thing akand..
it is such a huge gap from our understanding of intervals...
it is one another huge step..
that is why i thought it woudl be interesting to show this result at this stage :)
1this is someting like the paradox that in a race the runner can never reach the end line...
1i found the sum it came 1......not 1/2........nishant chacha .....
21hey this is a big controversy!!!!
kal sir ko puchhna padega.......
bcoz 1/3 + 2/9 > 1/2
to half aane ka to koi question hi nahi aaata.......
and as chem said S(GP) = 1 ==> LOCHA...... [3] LOL
62No controversies..
i went mad this was another example.. neend me i explained something different altogether ;)
;P