CSc 30100 – Scientific Programming Assignment 4

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( )
( )
( )
( )
0
Calculate the Taylor polynomials centered at 0,
0 !
for sin( ) for the following 16 values of ,
2 4 6 30 32 0, , , ,…, , which is equivalent to 16 16 16 16 16
(2 ), for 0,1,2, 16
k n
k
n
k
f T x x
k
f x x
x
k x k
πππ π π
π
=
=
=
 
∈   
= =

14
…,15,16.
For each value of , find the smallest integer such that
2 2 sin 10 .
16 16 n
k n
k k T   π π −
  − <  
2
The City College of New York
CSc 30100 – Scientific Programming
Fall 2020 – Erik K. Grimmelmann, Ph.D.
3
Present your results in a table and discuss them. Include all of your
analysis and discussion in an .ipynb file and submit the file thorugh
Blackboard.
The name of the file you submit should be
lastname_firstname_AS04.ipynb.
Do not clear your results after your last run so that I will be
able to see your results without rerunning your file.
If you collaborate with anyone on this assignment, be sure to
follow the collaboration guidelines in the syllabus including
listing with whom you collaborated in your ipynb file.