solve!!!

is it 1/2 power 2 power n

or 1/2 power 2n??

that simply means (1+ 1/2)(1+1/2²)(1+1/2⁴)(1+1/2⁸)(1+1/2¹⁶).... infinity = 1+1/2 + 1/2² + 1/2³ +1/2⁴....... infinity now i think you can find the sum to these infinite no. of terms ... and the answer comes out to be 2

i think i should explain too

consider the expansion of the above series

when we start to multiply if we take 1 from every bracket so we have 1*1*1* =1 so the first term becomes 1

when we take 1/2 from the first and 1 from all other brackets we shall get 1/2 ...here's the second term too

when we shall take 1/2 from the first bracket and 1/2² from the second one ...we shall have 1/2³ as the third term....and if you continue you will get a infinite G.P. with first term as 1 and common ratio as 1/2 ...so the answer is 2

its qiite simple shriya ....... take lcm of all terms ..... and luk at the numerater ....

multiply nd divide by 2-1 ........... solve for n terms and then apply limit to infinty ,,,

if i havnt made any calc. ..... it shud be 2 ...