Rather stuck on the following:
The function f(x) has Taylor expansion a0 + a1x + a2x^2 + ... around x=0.
If a1 = 0, and a2>0 explain why f >= (greater than, OR equal to) a0 near x=0
First of all, am i right in saying this can also be called a Maclaurin series, since we're considering it around x = 0?
And, secondly...well, not really sure where to begin, or how to phrase my answer, I can see why it would be true from the info given..but having difficulty putting it into the correct form...
If anyone can help, it would be greatly appreciated.