Math 2602  B1 , B2                                                                  Homework  #1
                                       Due Thursday, January 13, 2005

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

  i)  a_n = ( n³ + 1 )^½ / n²

ii)   a_n = (3/2)ⁿ / 5n³ .

iii)  a_n = log₂(16n) / log₂(n³)

iv)  a_n = ( n² + 1 )³ / 10n⁶