Help with Taylor series

Hi,

Can someone please help me to get the Taylor series expansion of y=(a+bx)^1/2?

Thanks

dav

[Jan]

What have you tried so far? What kind of help do you want? An explanation of how Taylor series are defined, a way to produce the first n terms symbolically or a formula for the first n terms?

[Image Analyst]

This doesn't seem to be a MATLAB question. Can it be? Like, do you want to plot the actual function and then try different numbers of terms and see how well they look like the original function?

[dav]

I want to get the taylor expansion of the above function simbolically.. Is it possible in matlab?

Answer 1

[sixwwwwww]

Dear Dav, here is the code to do it up to fifth order:

syms a b x y
y = (a + b * x)^(1/2);
TaylorSeries = taylor(y);
disp(TaylorSeries)

Also see http://www.mathworks.com/help/symbolic/taylor.html

[dav]

thank you very much!

Is there a way to generate this so that it contains the order term as well.

(as given by mathematica in http://reference.wolfram.com/mathematica/tutorial/MakingPowerSeriesExpansions.html) thanks again

dav

[sixwwwwww]

You are welcome. Yes you can specify the order using following modification:

TaylorSeries = taylor(y, x, 'Order', 10);

[dav]

Thank you so much for the kind help!

[sixwwwwww]

You are welcome