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Page (2 of 8) Exercises:   1    2    3    4    5    6    7    8  
Exercise 2

Play with the alternating series

(a) Find the first 5 partial sums of this series. Write them so that each partial sum has a denominator of 32.

(b) Plot the sequence of partial sums on this graph:

(c) What do you notice about the behavior of the partial sums?

(d) Do you think this series converges? Why or why not?


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