Question: Let (a) Show that ln(n + 1) S n 1 + ln n. (b) Show that the sequence {a n } = {S

Let


S 1++ k 12


(a) Show that ln(n + 1) ≤ Sn ≤ 1 + ln n.


(b) Show that the sequence {an} = {Sn - ln n} is bounded.


(c) Show that the sequence {an} is decreasing.


(d) Show that the sequence {an} converges to a limit ϒ (called Euler’s constant).


(e) Approximate ϒ using a100.

S 1++ k 12

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