Does the following series diverge or converge? if it converges, what is the value of x?
{x=sqrt[(1 + 2*sqrt(1 + 3*sqrt(1 + 4*sqrt(1 + 5*sqrt(1 + 6))))]}......to infinity.
P.S. They are nested sqrt within sqrt within sqrt......, i.e. sqrt(1+6) is under sqrt(1+5) which is under the sqrt(1+4)...........and so on. Hint: use Wolfram/Alpha to visualize it very clearly. Thanks for help.
