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HW9: Prove that if all p_j \ge 0 and Pj converges to p, then p ge 0. Hint: Prove this by contradiction. Write your two givens and your show. Write the first line of your proof by contradiction. HW10: Prove that if p_j converges to p then x_j=lp_j-p| converges to 0. Hint: you can choose the same N for your show as you used for your given.

HW9: Prove that if all p_j \ge 0 and Pj converges to p, then p ge 0. Hint: Prove this by contradiction. Write your two givens and your show. Write the first line of your proof by contradiction. HW10: Prove that if p_j converges to p then x_j=lp_j-p| converges to 0. Hint: you can choose the same N for your show as you used for your given.

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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HW9: Prove that if all p_j \ge 0 and pj converges to p, then p ge 0. Hint: Prove this by contradiction. Write your two givens and your show. Write the first line of your proof by contradiction. HW10: Prove that if p_j converges to p then x_j=|p_j-p| converges to 0. Hint: you can choose the same N for your show as you used for your given.
Transcribed Image Text:HW9: Prove that if all p_j \ge 0 and pj converges to p, then p ge 0. Hint: Prove this by contradiction. Write your two givens and your show. Write the first line of your proof by contradiction. HW10: Prove that if p_j converges to p then x_j=|p_j-p| converges to 0. Hint: you can choose the same N for your show as you used for your given.
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