Solution: Use the following steps to show that the sequence has a limit. (The value of
Chapter 11, Problem 44(choose chapter or problem)
Use the following steps to show that the sequence has a limit. (The value of the limit is denoted by and is called Eulers constant.) (a) Draw a picture like Figure 6 with and interpret as an area [or use ] to show that for all .(b) Interpretas a difference of areas to show that . Thereforeis a decreasing sequence.(c) Use the Monotonic Sequence Theorem to show that isconvergent.
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