A Sequence Is Defined By $b _ { n } = 1.0001 ^ { n }$

Essay

A sequence is defined by $b _ { n } = 1.0001 ^ { n }$ .(a) Calculate $b _ { 10 ^ { 3 } }$ and $b _ { 10 ^ { 5 } }$ .(b) Determine whether $b _ { n }$ converges or diverges. If it converges, find the limit.