Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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QUESTION 5. Show that if 0 ≤r≤n, then
r+2
r
r
(c) + (+³) + (+³) +- + (*) -(+)
n
n+
=
r
(1)...using induction on n.
(2) ...using a combinatorial proof.
Use a power series to approximate each of the following to within 3 decimal places:
1. arctan
2. In (1.01)
For each of the following power series, find the interval of convergence and the radius of
convergence:
n²
1.0 (x + 1)"
n=1
շո
3n
2. Σ
n=1
(x-3)n
n3
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