Recall that the harmonic scrics is 1++ ++ the nth partial sum. Let s. = 1+++...

 

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Recall that the harmonic scrics is 1++ ++ the nth partial sum. Let s. = 1+++ ..+ be a) What is lim s,? y=1/x b) Draw a careful picture on the graph to the right which illustrates that s, < 1+ In n. Be sure that your reasoning is explained. c) Suppose that 3, 000, 000, 000 terms of the harmonic series. Show that the sum would be less than 23. you were to add n-1 n+1 Recall that the harmonic scrics is 1++ ++ the nth partial sum. Let s. = 1+++ ..+ be a) What is lim s,? y=1/x b) Draw a careful picture on the graph to the right which illustrates that s, < 1+ In n. Be sure that your reasoning is explained. c) Suppose that 3, 000, 000, 000 terms of the harmonic series. Show that the sum would be less than 23. you were to add n-1 n+1

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