Question

what will be the value of x^1/2.x^1/4.x^1/8... to infinity

Answer 1

\[x^\frac{ 1 }{ 2 },x ^\frac{ 1}{ 4 },x^\frac{ 1 }{ 8 }.......\]

Answer 2

a.x^2
b.x
c.x^3/2
d.x^3
e.none of these

Answer 3

whats the exact question ?

Answer 4

are you adding the terms ?

Answer 5

here the series could be in AP,GP or HP
.....sum of infinite series is the question i think

Answer 6

wolfram says the sum does not converge
http://www.wolframalpha.com/input/?i=%5Csum%5Climits_%7Bk%3D1%7D%5E%7B%5Cinfty%7D+%28x%5E%281%2F2%5Ek%29%29

Answer 7

book shows ans as\[x\]

Answer 8

do you have solution ?

Answer 9

no, no hint no solution, therefore i post here

Answer 10

consider x = 1

Answer 11

is 1 + 1 + 1 + ... = 1 ?

Answer 12

lol

Answer 13

question is wrong,
if possible take a snapshot and attach

Answer 14

ok wait

Answer 15

for example, when x = 3
the sum of first 3 terms itself give u answer very much greater than x
http://www.wolframalpha.com/input/?i=%5Csum%5Climits_%7Bk%3D1%7D%5E%7B3%7D+%283%5E%281%2F2%5Ek%29%29

Answer 16

its not a series, its a product man !

Answer 17

\[\large \sum_{n = 1}^{\infty}x^{2^{-n}}\]

Answer 18

He he he.. :)

Answer 19

\[\huge x^{ \frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\cdots }\]

Answer 20

This looks nice..

Answer 21

oh ,the author was ambigous

Answer 22

It is a GP with first term 1/2 and common ratio 1/2

Answer 23

author was clear, you made it ambiguous by replacing \(\huge \cdot \) by a \(\large ,\)

Answer 24

ohh !!!

Answer 25

work out the sum in exponent

Answer 26

That dot (.) represents Product.. :)

Answer 27

the previous question all had (,)..... so i thought ,lol

Answer 28

stating the problem as clearly as possible and writing your thoughts on the problem really helps

Answer 29

can you work the sum in exponent?

Answer 30

but thanks for that comma ,i have to be cautious ....lol

Answer 31

:)