Question

General term for Taylor series representation of cube root x centered at a=8.

a) Maclaurin series
b) Power series
c) Binomial series
d) Exponential series

Answer 1

The general term for the Taylor series representation of the cube root of x centered at a=8 is the Maclaurin series.

Step-by-step explanation:

The general term for the Taylor series representation of the cube root of x centered at a=8 is the Maclaurin series.

In general, a Maclaurin series is a type of power series expansion that can be used to approximate a function as an infinite sum of terms. The Maclaurin series is centered at a=0, but in this case, the series is centered at a=8, so it is still considered a Maclaurin series.

The Maclaurin series for the cube root of x centered at a=8 would look like:

1. f(x) = c0 + c1(x-8) + c2(x-8)^2 + c3(x-8)^3 + ...

where c0, c1, c2, c3, etc. are the coefficients of the series.