Problem 12b

Given information

Here, have to use Taylor's Inequality to find the error ;

Taylor's Inequality is given by

If   for , then the remainder   of Taylor series satisfies the Inequality .

Step-by-step explanation

By using the above mentioned information and at a=1 and upto n=2  the approximating Taylor's polynomial is;                                 [see solution of 12(a) ]

 Here for using Taylor's Inequality first, have to calculate;

Now the Interval is: