Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1)..(m-k+1), 1+ E=1 |x| < 1 k! to obtain the Maclaurin series for 1 +x. +E(-1)*+15-11 - 17.--(6k – 7) k! k=2 1+ E(-1*" 11 17.(6k- 7) 6*k! k=1 15.11 17.(6k- 7) 6k k! +x+ k=2 11 · 17..(6k – 7) k 1+ > k! k=1 5- 11-17--(6k – 7)t 6* k! k=2
Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1)..(m-k+1), 1+ E=1 |x| < 1 k! to obtain the Maclaurin series for 1 +x. +E(-1)*+15-11 - 17.--(6k – 7) k! k=2 1+ E(-1*" 11 17.(6k- 7) 6*k! k=1 15.11 17.(6k- 7) 6k k! +x+ k=2 11 · 17..(6k – 7) k 1+ > k! k=1 5- 11-17--(6k – 7)t 6* k! k=2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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