Question

If xn converges weakly to x then what about xn^2

Answer 1

★ LIMITING VALUES , CONVERGENCE OR DIVERGENCE OF FUNCTIONS AND SERIES ★

☣ f(x) = xn

☣ convergence towards x , hence ,

☣ n tends to unity and 'x' resides as a factor

☣ And , δ f(x) = (xn)²

☣ As earlier observed the convergence nature of n as unity ...

☣ The acquired function also changes its linearity
and results in x²

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★