Hello, all.
For a recent assignment, I need to create a new function m-file - mylhopital(f,g,a) that will duplicate L'hopital's rule, only without any use of the LIMIT command. In this case, f and g are function handles, while a is the value that x approaches.
The assignment instructs me to calculate the limit of each case by writing a WHILE program that will replace f with f' and g with g' every time f(a) and g(a) equal 0, until f(a) and g(a) have taken on non-zero values.
What code I've written so far (with countless different permutations) is as follows:
function j=mylhopital(f,g,a)
syms x
while (f(a)==0 && g(a)==0)
f(a)=diff(f(x),x,a);
g(a)=diff(g(x),x,a);
end
j=f(a)/g(a);
end
I foolishly thought that this was fine, but it's only fine for samples of (f,g,a) that don't boil down to 0/0 in the first place. When I try to execute mylhopital(@(x)sin(x),@(x)x,0) or mylhopital(@(x)2-2*cos(3*x),@(x)x^2,0), the entire thing blows up and Matlab tells me that I have too many output arguments.
