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20. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. (a) x* +x- 3 = 0, (1,2) (b) 4x – 6x² + 3.x – 2 = 0 , (1,2) (c) x³ –x +3x – 5 = 0 , (1,2) 21. Prove that limx sin–=0.

20. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. (a) x* +x- 3 = 0, (1,2) (b) 4x – 6x² + 3.x – 2 = 0 , (1,2) (c) x³ –x +3x – 5 = 0 , (1,2) 21. Prove that limx sin–=0.

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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20. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. (a) x* +x- 3 = 0, (1,2) (b) 4.x³ – 6x² +3x– 2 = 0, (1,2) (c) x³ – x' + 3x – 5 = 0 , (1,2) 5 21. Prove that limx² sin = 0.
Transcribed Image Text:20. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. (a) x* +x- 3 = 0, (1,2) (b) 4.x³ – 6x² +3x– 2 = 0, (1,2) (c) x³ – x' + 3x – 5 = 0 , (1,2) 5 21. Prove that limx² sin = 0.
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