@acer I think that you meant to say "limit tutor" instead of "integration tutor". And since there are two, the CalculusI:-LimitTutor needs to be specified (although the Precalculus:-LimitTutor may be the same thing for all I know).

I am absolutely shocked that the current edition of Stewart's Calculus derives those two fundamental trig limits with reference to l'Hopital's rule. I've taught from that text, and I assure you that in earlier times those limits were derived by geometric proof and the squeeze theorem.

@Markiyan Hirnyk Thanks. Although, the mix of numbers with extremely small and extremely large magnitudes is highly suspicious to me.

@Markiyan Hirnyk Thanks. Although, the mix of numbers with extremely small and extremely large magnitudes is highly suspicious to me.

@digerdiga Well, that's quite surprising! You have 17.02, and you still have the bug, yet it is gone for Acer on his 17.02.

There is no attached file on your post.

@Markiyan Hirnyk I can only give a Wikipedia reference right now. See the article "Complex numbers", sections "Algebraic characterization" and "Characterization as a topological field". Basically, any algebraically closed field containing R as a proper subset is isomorphic to C. Hence, it is two-dimensional over R.

It's been proven impossible.

@moha You say "h = delta t", but what is delta x?

Are the time spacing and the spatial spacing both given by h?

You need to give some initial and boundary conditions.

Great question! What you want to do is possible, but before I answer I want to know if you need to know the order that the calls to the objective function are made. Both options are fairly easy, but it is somewhat more complicated to get the order.

@pzwp In Maple 17.01 the version with Expand executes instantaneously.

@pzwp In Maple 17.01 the version with Expand executes instantaneously.

@Markiyan Hirnyk Interesting. How do you find the intersection of the ranges?

@Markiyan Hirnyk Interesting. How do you find the intersection of the ranges?

@acer In Maple 17.01/64/Windows 8, my results agree with the Asker's. I recall recent discussion on MaplePrimes that they were going to address some bugs of simplify applied to expressions with conjugates. The reason that the evalc trick worked was that it removed the conjugate.