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Question: Maple "taylor" and "series" give me wrong calculations!?

Question:Maple "taylor" and "series" give me wrong calculations!?

steinikallinn 4 Maple
example student
August 04 2008
0

I have Maple 11.01 and Im doing simple taylor and series commands. Perhaps I'm doing something wrong but I cant figure out what it is. This is my problem:

f := arctan(3*x);
taylor(f,x=0,3);

and the output from the function is: 3*x+O(x^3) but my "Texas Instruments TI-89 Titanium" and the "Maple TA" website say that the correct answer is 3*x-9*x^3

 

The same goes for this example:

f := arcsin(x/(1-x));
taylor(f,x=0,3);

Maple 11 says :
x+x^2+O(x^3)

Calculator and Maple.T.A say:
x+x^2+7/6*x^3;

Why does Maple return me the answer where it looks as it is missing +1 on the order ? Just cant wrap my head around this
 
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