we know that the infinite series

$\backslash$infty X

i$=1$

$1$

i$6$ converges to $\backslash$pi $6$

$945.$ Write a computer code to find the smallest n

such that $1$

$16+1$

$26+1$

$36++1$

n$6\backslash$pi $6$

$945<$ TOL

where TOL is a tiny positive number $($the tolerance or the accuracy$).$

What you need to turn in for this project to Canvas P$00-$pdf and P$00-$code:

$1.$ Use a MS Word file $($or other software, but not hand$-$written$)$ to

$($a$)$ create a table to report results from running your code:

TOL $10510910131017$

n

$($b$)$ state what happens when TOL$=10100,$ and

$($c$)$ state which computer coding language you use for this project.

Then convert the file to a pdf file and submit the pdf file to P$00-$pdf$.$

$2$ Submit all your computer code files to P$00-$code such that I can run your code to reproduce your

results in the table above.

Note: For testing your code, n $=72$ when TOL $=1010.$