taylor series expansion help

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

This is probably easiest to solve by not using symbolic variables, but using an explicit loop instead.
? 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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Asked:

on 25 Jan 2019

Commented:

on 25 Jan 2019

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