" 6."sqrt(3sqrt(3sqrt(3............oo)))=

Calculate the value of 2(sqrt(3+sqrt(3+sqrt(3+)))...oo)

Show that log_(3)sqrt(3sqrt(3(sqrt(3...dots oo))))=1

Evaluate : (a) sqrt(xsqrt(xsqrt(x.....oo))) (b) sqrt(6+ sqrt(6 + sqrt(6 + ......oo))) (c) sqrt(a^(3)root(3)(b sqrt(a^(3) root(3)(b.......oo))))

The value of log sqrt(2sqrt(2sqrt(2...oo" times")))+log sqrt(3sqrt(3sqrt(3...oo" times"))) is

log_((4)/(3))(56+(sqrt(56+sqrt(56+sqrt(56+......oo))))/(sqrt(64sqrt(64sqrt(64.....oo)))))

sqrt(6-sqrt(6-sqrt(6-...oo)))=

Lt_(x->0 )(-1+sqrt(("tanx-sinx)+sqrt((tanx-sinx)+sqrt(..........)))oo)/(-1+sqrt(x^3+sqrt(x^3+sqrt(x^3+....)))oo

Evaluate: (a) sqrt((x^(3))sqrt( y sqrt(x^(3)sqrt(y....oo)))) ,