4. Recall the geometric series formula Σ* =k-x(a) Suppose that 2 € (-1,1) show that (-1)**for all r <1, i.e. -1

(a) Given ∑k=0∞rk=11-r ∴∑k=0∞-1kxk=∑k=0∞-xk=11--x ∵∑k=0∞rk=11-r=11+x Hence proved.

Answered: 4. Recall the geometric series formula…

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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4. Recall the geometric series formula for all r <1, i.e. -1