Flag Discuss with Askiitians Tutors> 1-1/2+1/3-1/4+1/5........ sum to infinity...
question mark

1-1/2+1/3-1/4+1/5........  sum to infinity

moidin afsan , 10 Years ago
Grade 11
anser 1 Answers
Sher Mohammad

Last Activity: 10 Years ago


re arrange terms,

1 + 1/3 -1/2 +1/5 + 1/7 - 1/4 + 1/9 + 1/11 - 1/6 + 1/13 + 1/15 -1/8 .................=

[1 -1/2 + 1/3 - 1/4 +1/5 - 1/6 + 1/7 -1/8] + [1/9 + 1/11 + 1/13 + 1/15.......................]
odd numbers give (1/2) ln 2 in the limit.

So ln 2 + ln2 / 2 = 3/2 ln 2.

shr mohammad
b.tech, iit delhi

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...