Question

1 + 1/4 + (1.3)/(4.8) + (1.3.5)/(4.8.12)+...... = _____

Answer 1

Expand (1-x/2)^(-1/2) using Maclaurin Series and set x=1 and see what happens.

Answer 2

m not getting the answer by dat way.....plz help

Answer 3

If you have done MacLaurin expansion, you should be able to expand the expression.
What answer did you get?

Answer 4

1/2^(1/2)

Answer 5

i got the same answer too

Answer 6

Oh, sorry, the expression I gave is not correct.
It should have read:
[1/(1-x/2)]^(-1/2)
which should expand to
1+1/4+1.3/(4.8)+1.3.5/(4.8.12)+...

Answer 7

Please disregard the previous correction.
The original expression IS correct, as it says:
(1-x/2)^(-1/2) [note the negative sign of the exponent]
=sqrt[1/(1-x/2)]
and should expand to:
1+1/4+1.3/(4.8)+1.3.5/(4.8.12)+...

Answer 8

so watz d method?

Answer 9

and note that (1-x/2) means (1-(x/2)) by the priority of multiplication over addition.

Answer 10

thanx

Answer 11

You're welcome!