SOLUTION: Construct the Taylor polynomial of degree of 10 about x=0 for the function f(x)= e^x . If someone could pls help me out with this one. This is one of my finals :(

Question 352111: Construct the Taylor polynomial of degree of 10 about x=0 for the function f(x)= e^x . If someone could pls help me out with this one. This is one of my finals :(
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please check out the following site.
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http://en.wikipedia.org/wiki/Taylor's_theorem
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Cheers,
Stan H.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
f(x)=f(a)+f'(a)(x-a)+f''(a)(x-a)^2+f'''(a)(x-a)^3+...+f^(10)(a)(x-a)^10
In this case
f(x)=f'(x)=f''(x)=...=

Then just substitute,
+...+

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