X 1. Find 1- x³ 1– + 0 x + 1 lim

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
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Part III Solve the following problems on a clean
sheet of paper.
SPETTO
C
1. Find
2. Prove that
lim
1- x³
x → ∞ x + 1.
f(x) = |x + 1|
(-1,0)
{xn}
tangent line at
and maluddian
Xn
3. Prove that the sequence
1+2n²
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.
has no
1
where
in the interval
be the margin of
Transcribed Image Text:Part III Solve the following problems on a clean sheet of paper. SPETTO C 1. Find 2. Prove that lim 1- x³ x → ∞ x + 1. f(x) = |x + 1| (-1,0) {xn} tangent line at and maluddian Xn 3. Prove that the sequence 1+2n² 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. has no 1 where in the interval be the margin of
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