Question Number 100947 by bachamohamed last updated on 29/Jun/20

(√(1+(√(2+(√(3+(√(4+(√(5+.....∞))))))))))=?

Commented bybachamohamed last updated on 29/Jun/20

way how ? solve that

Commented byDwaipayan Shikari last updated on 29/Jun/20

suppose it has n terms so n×(√((1/n^2 )+(√((2/n^4 )+(√((3/n^8 )+.....∞))))))=p {suppose} n×(√(z+(√(z+(√(z+(√(z+...))))))))∞=p z→0 take (√(z+(√(z+(√(z+..))))))∞=a z+a=a^2 or a^2 −a=0 {As z→0} a=1 or 0 na=p when a=0 then n×0=undefined {as n→∞) when a=1 then n×1=p→∞ But it shows infinity