J = 0.01;
b = 0.0737;
K = 0.072;
R = 1.17;
L = 0.024;
syms w
temp = K/(w*(((J*w+b)*(L*w+R))+K^2));
tempc = collect(temp, w);
disp(tempc)
ans =
120000/(400*w^3 + 22448*w^2 + 152355*w)
Examing this, we see that as w approaches 0, the controlling expression would be the 152355*w part -- the w^3 and w^2 parts would vanish compared to the w component. So the limit of temp as w goes to 0 would be like
limit( (120000/152355)/w, w, 0)
When w approaches from the right, that is positive divided by +0, which is +infinity
When w approaches from the left, that is positive divided by -0, which is -infinity
Therefore the left and right limits are different, so the limit is not defined.