Let x0, x1,x2,... be the sequence such that xo = 1 and for n ≥ 0, Xn+1 = ln(en — Xn) (as usual, the function In is the natural logarithm). Show that the infinite series xo + x1 + x₂ + ·· ... converges and find its sum.
Let x0, x1,x2,... be the sequence such that xo = 1 and for n ≥ 0, Xn+1 = ln(en — Xn) (as usual, the function In is the natural logarithm). Show that the infinite series xo + x1 + x₂ + ·· ... converges and find its sum.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 51RE
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