Math 2602  B1,B2                                                                             Homework  #1
                                           Due Thursday, August 19, 2004


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

    (a)  a_n = n³/(n-1)³ .


    (b)  a_n = log₂(n²/2)/ln(n) .          ( ln(n) = log_e(n) )


    (c)  a_n = (n²2ⁿ)/4ⁿ .



    (d)  a_n = n²/(1.05)ⁿ .