Calculus II 
Quiz #8
April 24, 2002
Name____________________    
R.  Hammack 
Score ______


(1) Decide if the following sequences converge or diverge. In the case of convergence, state the limit.


(a)   ln(1),  ln(1/2),  ln(1/3),  ln(1/4),  ...  , ln(1/n),  ...

 

 



(b)    [Graphics:Images/quiz8sol_gr_1.gif]

 

 




(c)    [Graphics:Images/quiz8sol_gr_4.gif]

 

 




(2)  
Consider the sequence  [Graphics:Images/quiz8sol_gr_12.gif]    [Graphics:Images/quiz8sol_gr_13.gif]     [Graphics:Images/quiz8sol_gr_14.gif]    [Graphics:Images/quiz8sol_gr_15.gif] ...

Decide if the sequence converges or diverges. Explain.