Graphing a two variable limit
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Hi, I am new to MATLAB and I can't seem to figure out how to graph a two variable limit like:
I've seen answers on how to create a two-variable function, or how check the limit for continuity, but I hope to see it graphed in relation to 
. I have gotten errors saying that the function is too complex, or that Z must be a matrix, and I have no clue how I should handle those kinds of errors.
. I have gotten errors saying that the function is too complex, or that Z must be a matrix, and I have no clue how I should handle those kinds of errors.Thanks in advance for any help that is given!
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采纳的回答
x= -0.5:.01:0.5;
y = 0.5:.01:1.5;
[xx, yy] = meshgrid(x, y);
zz = acos(xx./yy)./(1+xx.*yy);
%zz = nan(size(xx));
% idx = abs(xx./yy)<=1;
% zz(idx) = acos(xx(idx)./yy(idx))./(1+xx(idx).*yy(idx));
% whos
contourf(xx, yy, zz);
hold on
plot(0, 1, 'rd')
4 个评论
Stephen
2022-10-7
Thanks, that answer works, but I should of mentioned that I hoped to graph the function using something like mesh(), sorry about that.
I've tried:
x=-3:0.1:3;
y=-3:0.1:3;
[x,y]=meshgrid(x,y)
z = (acos(x./y))/((1+x.*y));
mesh(x,y,z)
but due to it being a limit it returns:
from the discontinuity.
Is it possible at all to represent that using a mesh (or any 3D graphing functions for that matter) or no due to the discontinuity?
Thank you again for the help!
Stephen
2022-10-7
Chunru
2022-10-7
The comment-out code above is good when acos become complex.
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