Approximation and error

It is known that:

$\backslash$infty

cos $()=(1)2$

$(2)!$

$$

$=0$

Truncate the series to compute the first $8$ estimates $($i$.$e$.=0,1,,7)$ for $=$

$5$

$.$ You must use

a for loop. All calculations and printing the table described below should be done from within

the loop. Arrange your results in a table using fprintf that has column $1$ as the $$# of Terms$$

included in the estimate $($not the k value$),$ the second column the $$Estimate$,$ the third column

the $$True Error$$ and the fourth column the $$Magnitude of the Approximate Percent Relative

Error$,$MAPRE$.$ Express everything, except the number of terms, in decimal format with $10$

digits after the decimal point. The header should look exactly like this:

# of terms

Estimate

True Error

MAPRE $---------------------------------------------------$