391/2{1+1/2(1/2)+1/3(1/2)2 +..................}
=1/2{1+(loge)2/2}
=1/2 +(loge)2/4
a question from board exam ap state board 2009
1/1*1/2 + 1/2*1/22 + 1/3*1/23 ........ find the answer . and show method .
-
UP 0 DOWN 0 0 5
5 Answers
39
1yeah i got it [4][4]
yaar deekh x =-1/2 put karo so
-ln(1-1/2)=1/2+1/2(1/2)+..................
add 1/2 to both side to get
1/2-ln(1-1/2)=1+1/2(1/2)+..................
ans will be
1/2(1/2-ln(1-1/2))
= 1/4-ln(1/2)/2
