These terms are calculated from the values of the function’s derivatives at a single point. So the approximation is only off by about 0.05%. In mathematics, the Taylor series of a function is an infinite sum of terms that are expressed in terms of the functions derivatives at a single point. The Taylor series formula is the representation of any function as an infinite sum of terms. Taylor series of function f ( x ) at a is defined as : f ( x ) f ( a )+ f ( a )1 Show Steps. The solution is 2 4 so Im guessing it has to be one of the trig functions.
A Taylor series approximation uses a Taylor series to represent a number as a polynomial that has a very similar value to the number in a neighborhood around a specified \(x\) value: A Taylor Series is an expansion of some function into an infinite sum of terms, where each term has a larger exponent like x, x2, x3, etc. I think I have to find known taylor series and modify it to look like the above but I cant see which one to pick.