Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + ... ... 2! 1+ Ek=1° т(т-1). (m-k+1), k! Sat if |x| < 1 1 to obtain the Maclaurin series for (1 + x)* (k + 4)! 1+ 4! k=1 k! 1– 4x + k! k=2 1+ 4x + «+ 3)! k! k=2 E(-1)*e+1 (k + 3)', 5! k=2 1 1- 4x + k! 1– 4x + (-1*k + 3)! 3! k=2 k!
Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + ... ... 2! 1+ Ek=1° т(т-1). (m-k+1), k! Sat if |x| < 1 1 to obtain the Maclaurin series for (1 + x)* (k + 4)! 1+ 4! k=1 k! 1– 4x + k! k=2 1+ 4x + «+ 3)! k! k=2 E(-1)*e+1 (k + 3)', 5! k=2 1 1- 4x + k! 1– 4x + (-1*k + 3)! 3! k=2 k!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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