{Xn} 3. Prove that the sequence 1+2n² 1-3n² Xn where is bounded.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter39: Symbolism And Algebraic Expressions
Section: Chapter Questions
Problem 5A
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Part III Solve the following problems on a clean
sheet of paper.
Spetto an
C
3. Prove that the sequence
1+2n²
Xn
1 - 3n² is bounded.
4. Use the bisection method to approximate the root
f(x) = 2x²
-
of
[0, 1]. Let € = 0.1
error of approximation.
where
1
in the interval
be the margin of
Transcribed Image Text:Part III Solve the following problems on a clean sheet of paper. Spetto an C 3. Prove that the sequence 1+2n² Xn 1 - 3n² is bounded. 4. Use the bisection method to approximate the root f(x) = 2x² - of [0, 1]. Let € = 0.1 error of approximation. where 1 in the interval be the margin of
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