Find the 3rd Taylor Polynomial of e^(3x) at x=0?

stealth

New member
I have the correct answer, but I am not sure how to get there. Here is what I get when setting it up in a table...

f(x)=e^(3x) f(a)=0
f'(x)=3x^(3x) f'(a)=3
f''(x)=9x^(3x) f''(a)=9
f'''(x)=27x^(3x) f'''(a)=27

That is all I have so far. I am not really sure if that is even correct. Could someone dumb it down as much as possible? I don't even really understand the way the book puts it with all its Calculus lingo.

The correct answer is 1+3x+(9/2)x^2+(9/2)x^3
 
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