See here.yeahyeah<3 said:how do you get the math problem to look like that -.-
That's what it looks like in p(x), but if you didn't know of p(x), what would the term look like?i think the term looks like
(x-3)^30
15!
?
Yes, that kind of thing. So now you know what the general form of the term looks like and what it actually is. I leave the rest to you.yeahyeah<3 said:like f'(30) (x-3)^30 kind of thing?
30!
A Taylor Polynomial is a mathematical concept used to approximate a function using a finite number of terms. It is based on the Taylor Series, which represents a function as an infinite sum of derivatives at a specific point.
To evaluate a Taylor Polynomial at a specific point, you need to plug in the value of that point in the polynomial. This will give you an approximation of the function's value at that point.
In this context, "f^30(3)" means to evaluate the 30th derivative of the function f at the point x=3. This is a common notation used to represent the Taylor Polynomial and its derivatives.
Evaluating a Taylor Polynomial at a specific point allows us to approximate the value of a function at that point. This can be useful in situations where the function is difficult to evaluate or when only a limited number of terms in the Taylor Polynomial are known.
No, a Taylor Polynomial is an approximation of a function and cannot give the exact value. However, as the number of terms in the polynomial increases, the approximation becomes more accurate, and it can be used to get closer and closer to the actual value of a function.