Getting Error on limit calculation

Hi all

I get an error running these lines , but the functions are unknown

could someone tell me what the error is ?

R=1; D11=3;

A(1,:)=[((-R*log®/(2*D11))+R/(4*D11)) R/2 1/R 0]; syms ro;

limit(((-ro*log(ro)/(2*D11))+ro/(4*D11)),ro,0,'right');

syms ro;

limit ( 1/ro,ro, 0, 'right');

A(2,:)=[((-ro*log(ro)/(2*D11))+ro/(4*D11)) ro/2 1/ro 0];

Answer 1

[Star Strider]

In calculating the limit of ((-ro*log(ro)/(2*D11))+ro/(4*D11)) you are essentially calculating the limit of -ro*log(ro) as ‘ro’ approaches 0 from the right (equating to 0*Inf), and adding it to ‘ro’. Since both terms equate to 0, the limit is 0. I don’t intend to sound critical, but it’s not even necessary to use a symbolic math program to see that.

In your second limit, 1/ro with the same conditions, the limit is +Inf.

Answer 2

[farzad]

this is my error

The following error occurred converting from sym to double: Error using mupadmex Error in MuPAD command: DOUBLE cannot convert the input expression into a double array.

If the input expression contains a symbolic variable, use the VPA function instead.

Error in paryalimit (line 10) A(2,:)=[((-ro*log(ro)/(2*D11))+ro/(4*D11)) ro/2 1/ro 0];

Answer 3

[farzad]

Thank you very much Strider ,

shall you please elaborate , shall you tell me why it is not necessary to use symbolic math ?

my question is also , when we have log (ro) , and ro tends to zero , does it make a difference for matlab to use limit or replace directly ?

[Star Strider]

My pleasure!

You can certainly use a symbolic solver to do this or almost any problem that has an analytic solution and that is not so large that the solver cannot do it. It is simply obvious that -ro*log(ro) as ‘ro’ approaches zero is going to be zero. So is the second term.

I’m not certain how the Symbolic Math Toolbox calculates its limits (I never looked).