Which among the following statements is the strongest that is true?

A If a function is defined for all x and has a Maclaurin series, then this Maclaurin series converges for all x.

B If a function is defined for all x and has a Maclaurin series, then this Maclaurin series is equal to the function for all x.

C If a function is defined for all x and has a Maclaurin series, then this Maclaurin series is equal to the function for infinitely many values of 

D If a function is defined for all x and has a Maclaurin series, then this Maclaurin series is equal to the function at .

Let’s say  are the first 4 terms of the Maclaurin series of some function . What is ?

Let’s say  is the Maclaurin series of . What is ?

You really should know the Maclaurin series for ,  and  by heart. Let’s see whether you do. Let’s say  is the Maclaurin series of . What is ?