Question 1
What is the Taylor series expansion of the function f(x) = e^x at x = 0?
Question 2
What is the first non-zero term in the Taylor series expansion of sin(x) at x = 0?
Question 3
Which of the following represents the remainder term $R_n$ in Taylor's theorem?
Question 4
What is the Maclaurin series for the function $f(x) = \cos(x)$?
Question 5
What is the radius of convergence for the Taylor series of $f(x) = \frac{1}{1-x}$?