Help with plotting
sandbanana
Here
I have a code that asks for a value of x and then the number of terms about zero e^x should be expanded using a Taylor Series. That one seems to work fine.
The next one takes x from -10 to 10 with a 10 term Taylor Series expansion. I need to be about to plot e^x vs x for each one of these values.
Here is the code I have:
The next one takes x from -10 to 10 with a 10 term Taylor Series expansion. I need to be about to plot e^x vs x for each one of these values.
Here is the code I have:
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %This will compute the Taylor Series expansion of e^x for a user defined %x value for the number of terms required by the user. It will do this about the point %a=0. The result of the %nth term will be compared to the computer generated value of e^x clear %clears previous values x = input ('Enter a value for x:'); % user input of which value to use for x i = input ('Enter the non-zero number of terms for this Taylor Series expansion:'); %user input of number of terms to use % g_n: the nth term in Taylor Series k=1; % initialize k g_n=x^(k-1)/factorial(k-1); % begin with the first term g=g_n; while k<i; %="" let="" index="" increase="" until="" number="" of="" desired="" terms="" reached=""> k=k+1; % increase index by 1 g_n=x^(k-1)/factorial(k-1); g=g+g_n; %add the next term in the series end display(g) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %This will compute the Taylor Series expansion about the point zero for x %values -10 to 10 using a 10 term expansion % g_n: the nth term in Taylor Series clear %clears previous values for x=-10:10 %describes the range of values for x k=1; % initialize k i=10; % number of terms used g_n=x^(k-1)/factorial(k-1); % begin with the first term g=g_n; while k<i; %="" let="" index="" increase="" until="" number="" of="" desired="" terms="" reached=""> k=k+1; % increase index by 1 g_n=x^(k-1)/factorial(k-1); g=g+g_n; %add the next term in the series end display(x) display(g) end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %This will now calculate the actual values for e^x using a range of x=-10 %to x=10 clear % clears previous values for x=-10:10 y=exp(x); display(x) display(y) plot(y,x) end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%</i;></i;>
0
Comments
will run forever (or at least until k is zero)
(there's your problem)