The question asks to estimate the remainder on the interval |x|≤ 1.
f(x) is given as sinh(x).
I solved the polynomial P3(x) = x + (1/6)(x3)
I then went ahead and solved R3(x) up to the point shown below.
R3(x) = (sinh(c)*x4)(1/24)
I then don't know how to go about getting the estimate. It clearly lies between 0 and x but it escapes me.. Any help would be great. Thanks a lot.