Calculus iii

Please answer 4 & 5

4. Use Taylor's Inequality to estimate the accuracy of the 5'1' degree Taylor polynomial approximation to the function 1'06) = Sin (I), centered at 1' = E, when l} 5 x 5 Jig-[(5 points}. 5. Compute the limit, showing all steps {don'tjust say the technology did this problem for you] of the following sequence {4 points}: an =1l9n2 +4n3n