funny paradox of old days...i don't know if u guys knew it!

ZENO's paradox
A man standing in a room can not walk to the wall. In order to do so, he would have to go half the distance, then half the remaining distance, and then again half of what shall remains. This process can always be continued and can never be ended.

3 Answers

30
Ashish Kothari ·

What is the sum of :

\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+... ?

[3]

1
kunl ·

well tht's not the correct explanation..infact,thts mathematical formulation of the paradox [1]

1
aditya ravichandran ·

that is the right explanation

let the distance be l

distance covered in the above manner is

l(1+\frac{1}{2}+\frac{1}{4}+\cdots n\ times) < l(1+\frac{1}{2}+\frac{1}{4}+\cdots \infty)=l \\\\ \texttt{distance traveled} < l

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