Remainder terms Find the remainder term R„ in the nth order Taylor polynomial centered at a for the given functions. Express the result for a general value of n.f(x)= sin x; a = 0

Solution 41EStep 1:A Taylor series of function f(x) at a is defined as :-The remainder term for taylor polynomial is:Using this we write the remainder for the function centered at zero, as follows Hence the remainder term for the taylor polynomial for is:Also, since the derivative of only takes values between -1 and 1, we have that.