Let an (1+ 1)" for n 2 1. Prove that the sequence (an),n>1 is bounded and monotone, and therefore convergent to a limit L D Show that the sequence (bn)n>1 is monotone and bound L2 For n1, let bn and...

1 is bounded and monotone, and therefore convergent to a limit L D Show that the sequence (bn)n>1 is monotone and bound L2 For n1, let bn and therefore convergent to a limit L2. Prove that L1 -0 k! "/>
Extracted text: Let an (1+ 1)" for n 2 1. Prove that the sequence (an),n>1 is bounded and monotone, and therefore convergent to a limit L D Show that the sequence (bn)n>1 is monotone and bound L2 For n1, let bn and therefore convergent to a limit L2. Prove that L1 -0 k!