30What is the sum of :
\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+... ?
[3]
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.
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3 Answers
301well tht's not the correct explanation..infact,thts mathematical formulation of the paradox [1]
1that 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