Let {xnJne1 be a sequence of positive real numbers. Which one of the following statements is always TRUE? (A) If txnJne1 is a convergent sequence, then {xq}n21

Let {xnJne1 be a sequence of positive real numbers. Which one of the following statements is always TRUE? (A) If txnJne1 is a convergent sequence, then {xq}n21 is monotone (B) If fxna1 is a convergent sequence, then the sequence {x,}ne1 does not converge (C) If the sequence {n+1Xn bne1 Converges to 0, then the series =1 Xn is convergent (D) If x,n }nz1 is a convergent sequence, then {e*n}nz1 is also a convergent sequence alme X