Consider the sequence (xn)n defined by x1 = 2 , xn+1 = (xn + (2/xn))/2 for all n belongs to N. Show that xn to the power 2 > 2 for every n belongs to N. Solve these 2 parts according to real analysis.
a) Requires knowledge of differential equations.
b) Involves a complex analysis problem.
c) Relates to real analysis.
d) Requires knowledge of algebraic geometry.