सिध्द कीजिए कि `3.3^(1//2).3^(1//4).3^(1//8).....oo`तक =9

1/(2!)-1/(3!)+1/(4!) .....oo =

Prove that : 3^(1/2)xx3^(1/4)xx3^(1/8)xx.......... to oo=3 .

Show that 3^(1//2).9^(1//4). (27)^(1//8). (81)^(1//16)… oo = 9

lim_(n->oo) (3^(1/2).3^(1/4).3^(1/8)...............3^(1/2^n))= (i) sqrt3 (ii) 3 (iii) log3 (iv) none of these

Prove that 9^(1//3)xx9^(1//9)xx9^(1//27)xx...oo=3 .

Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3) =

Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

If x=9^(1/3) 9^(1/9) 9^(1/27) ......oo y= 4^(1/3) 4^(-1/9) 4^(1/27) ...... oo and z= sum_(r=1)^oo (1+i)^-r then , the argument of the complex number w = x+yz is