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Question 1 Use the following steps to show that the sequence t n = 1 + (1/2) + (1/3) + . + (1/n) - ln(n) has a limit. (The value of the limit is...

Question 1

Use the following steps to show that the sequence

tn = 1 + (1/2) + (1/3) + ... + (1/n) - ln(n)

has a limit. (The value of the limit is denoted by Gamma and is called Euler's constant.)

(a) Draw a picture like in the proof of The Integral Test with 

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