-Σ-.. . Let S, = 1 = 1+ Note that In(n + 1) < S, s1+ In(n). Note that the sequence {a,} = {S, - In(n)} is bounded and decreasing. Note that the sequence +... + k = 1 {a,} converges to a limit y (called Euler's constant). Approximate y using a,00: (Round your answer to four decimal places.) O.5772
-Σ-.. . Let S, = 1 = 1+ Note that In(n + 1) < S, s1+ In(n). Note that the sequence {a,} = {S, - In(n)} is bounded and decreasing. Note that the sequence +... + k = 1 {a,} converges to a limit y (called Euler's constant). Approximate y using a,00: (Round your answer to four decimal places.) O.5772
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let S, =
Note that In(n + 1) < S, s 1 + In(n). Note that the sequence {a} = {S, - In(n)} is bounded and decreasing. Note that the sequence
= 1 +
+... +
2.
k = 1
{a,} converges to a limit y (called Euler's constant). Approximate y using a,00: (Round your answer to four decimal places.)
a100 = 0.5772
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