Math 2602 A1, A2, A3                                                                           Homework  #1
 

                                             Due Thursday,  January 9, 2003

   1.  Determine whether the sequence has a limit, and if so, find it .

    i)  a_n = ( 10n² ) / ( n + 1 ) ² .    

    ii)  a_n = 2ⁿ / 3^n-1 .
   
    iii)  a_n = log₂ ( n + 1 ) - log ₂ ( n ) .

    iv)  a_n = n2ⁿ / 3ⁿ .