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(1) (a) Let (an) be the sequence defined below. Determine if the sequences converges or diverges. If the sequence converges then determine the limit of the sequence, otherwise determine if the sequence diverges to oo, -o or neither. -00 n+2 n+3 (b) Determine the first four non-zero terms, and expression for the general nth term, for n > 1, of the Taylor series expansion about 0 of each function below. (i) cos(r") | Cos(t")dt

(1) (a) Let (an) be the sequence defined below. Determine if the sequences converges or diverges. If the sequence converges then determine the limit of the sequence, otherwise determine if the sequence diverges to oo, -o or neither. -00 n+2 n+3 (b) Determine the first four non-zero terms, and expression for the general nth term, for n > 1, of the Taylor series expansion about 0 of each function below. (i) cos(r") | Cos(t")dt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1) (a) Let (an) be the sequence defined below. Determine if the sequences converges or diverges. If the sequence converges then determine the limit of the sequence, otherwise determine if the sequence diverges to oo, -00 or neither. n+2 n+3 an = (b) Determine the first four non-zero terms, and expression for the general nth term, for n> 1, of the Taylor series expansion about 0 of each function below. (i) cos(r*) (ii) cos(t)dt
Transcribed Image Text:(1) (a) Let (an) be the sequence defined below. Determine if the sequences converges or diverges. If the sequence converges then determine the limit of the sequence, otherwise determine if the sequence diverges to oo, -00 or neither. n+2 n+3 an = (b) Determine the first four non-zero terms, and expression for the general nth term, for n> 1, of the Taylor series expansion about 0 of each function below. (i) cos(r*) (ii) cos(t)dt
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