1. The problem statement, all variables and given/known data Use zero- through third-order Taylor series expansion f(x) = 6x3 − 3x2 + 4x + 5 Using x0=1 and h =1. Once I found that the Taylor Series value is 49. I want to be able to check the value. On the board our teacher plugged in a value into the equation to show that the answer is 49. But I do not know how they were able to do that. 2. Relevant equations Taylor Series 3. The attempt at a solution zero: 12 first: 12 + 16 = 28 second: 12 + 16 + 15 = 43 third: 12 + 16 + 16 + 6 = 49 I am able to find the value of 49 using Taylor Series so that isn't the problem here. I want to be able to find the actual value of 49 without having to do the Taylor Series that way I can make sure what the correct ending value should be.