Consider the sequence an = (a) Use Python to find a candidate for the limit L of this sequence. Produce a plot illustrating the behaviour of this sequence. Make sure to choose an appropriate data range for your plot. 1 (b) For € = use Python to find the smallest N such that lay - L| < E. 500 (c) For € = 1 5-77 sinn +8n² 1-4n² use Python to find a candidate for the smallest M such that 500' an Le for all n > M. (d) Produce a plot in Python (again by choosing an appropriate data range) illus- trating your answer to part (c).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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1. [Python question: submit a printout of your answer.]
Consider the sequence
an =
577 sinn +8n²
1-4n²
(a) Use Python to find a candidate for the limit L of this sequence. Produce a plot
illustrating the behaviour of this sequence. Make sure to choose an appropriate
data range for your plot.
1
(b) For € = use Python to find the smallest N such that lay - L| < E.
500
(c) For =
an
1
use Python to find a candidate for the smallest M such that
500
Le for all n > M.
(d) Produce a plot in Python (again by choosing an appropriate data range) illus-
trating your answer to part (c).
Transcribed Image Text:1. [Python question: submit a printout of your answer.] Consider the sequence an = 577 sinn +8n² 1-4n² (a) Use Python to find a candidate for the limit L of this sequence. Produce a plot illustrating the behaviour of this sequence. Make sure to choose an appropriate data range for your plot. 1 (b) For € = use Python to find the smallest N such that lay - L| < E. 500 (c) For = an 1 use Python to find a candidate for the smallest M such that 500 Le for all n > M. (d) Produce a plot in Python (again by choosing an appropriate data range) illus- trating your answer to part (c).
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