The value of 2+12+12+.....∞ is
Let x=2+12+12+.....∞ ⇒x=2+1x (on simplification) ⇒x=1±√2 As, x>0;x=1+√2.
the value of limx→∞√1+x4+(1+x2)x2 is
θ ∈ [0, 2π] and z1,z2,z3 are three complex numbers such that they are collinear and
(1+|sinθ|)z1 + (|cosθ|−1)z2 - √2z3 =0. If at least one of the complex numbers z1,z2,z3 is
non-zero then number of possible values of θ is