Math 2602  A1 - A3                                                                         Homework  #1
                                          Due Thursday, August 25, 2005

  Determine whether the sequence has a finite limit, and if so find it.  Explain briefly.

i)  a_n =  ln(n²) / log₂(n⁴).                                      ("ln" = "log_e ")

ii)  a_n =  2^n/2 / 3^n/3 .

iii)  a_n =  ( 1 + n² )¹⁰ / n²⁰ .

iv)  a_n =  (1.1)ⁿ / n³ .