taylor series expansion help
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syms x
valuex=input('What is the value of x? ')
subs(taylor(exp(x),x, 'OrderMode','Relative','Order',valuex), valuex)
I need to modify my solution above so that, as well as computing and displaying the result of the Taylor series expansion, it also computes and displays the number of terms required for the approximation to be accurate to within 0.01.
The Taylor series for the exponential function e^x is 1 + (x^1)/1! + (x^2)/2! + (x^3)/3 ...
2 Comments
Rik
on 25 Jan 2019
This is probably easiest to solve by not using symbolic variables, but using an explicit loop instead.
Walter Roberson
on 25 Jan 2019
? To confirm, the x that you evaluate the taylor series at, is to be the same as the Order (that is, the highest power to be used in the series) ??
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