LImit is not corrcet

Hi All, I am trying to find the limit of below function in matlab :

limit(( -24*sin(x)+6*x*exp(x)+30*x*sin(x)+6*x*cos(x)-exp(x)*(x^3)-((x^3))*sin(x)-((x^3))*cos(x)-24+4*((x^3))-6*((x^2))*sin(x))/(6* ((x^4))* sin(x)),x,0)

and ans is

NaN

But Actual answer is 26/120. Can anyone help me...how to write in matlab?

[Walter Roberson]

Maple says that the limit is undefined

Answer 1

[Jan]

My first guess is that you have a typo in your formula. The second guess is, that the source of your opinion, that 26/120 is the correct limit, is wrong.

What about checking the formula manually?

x = -0.01:0.000001:0.01;
y = -24.*sin(x)+6*x.*exp(x)+30*x.*sin(x)+6*x.*cos(x)-exp(x).*(x.^3)-(x.^3).*sin(x) - ...
     (x.^3).*cos(x)-24+4*(x.^3) - 6.*((x.^2)).*sin(x))./(6* (x.^4).* sin(x);
plot(x, y);

It does not look like the equation has a limit at the position 0. I know this is not a mathematical proof, but a strong hint to get more doubts.