Use the formula for the binomial series: (1 + x)" m(m–1) 2 -x² + 2! m(m–1)..(m-k+1) + 1+ mx + ... ... k! 1+ Ek=1° * m(m-1).…(m-k+1), 1지 < 1 k! to obtain the Maclaurin series for V1 + x. 5. 8..(3k – 4) 1+ > k! k=1 2.5.8.(3k – 4) 3* + £(-1* 3*k! k=2 + E(-1)*+12· 5 · 8.…(3k – 4) 3* k! k=2 1+ E(-1x3- 8.(3k – 4) 3k k! k=1 1 1 + + E(-1y*+12·5 · 8.--(3k – 4). k! k=2
Use the formula for the binomial series: (1 + x)" m(m–1) 2 -x² + 2! m(m–1)..(m-k+1) + 1+ mx + ... ... k! 1+ Ek=1° * m(m-1).…(m-k+1), 1지 < 1 k! to obtain the Maclaurin series for V1 + x. 5. 8..(3k – 4) 1+ > k! k=1 2.5.8.(3k – 4) 3* + £(-1* 3*k! k=2 + E(-1)*+12· 5 · 8.…(3k – 4) 3* k! k=2 1+ E(-1x3- 8.(3k – 4) 3k k! k=1 1 1 + + E(-1y*+12·5 · 8.--(3k – 4). 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 49E
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