Integral hangs the physical Prime

[lrdheat]

The Prime is indeed, quite a device!

I have another question concerning a limit calculation:

When calculating the limit as x approaches pi/4 for (tan(x)-1)/(x-pi/4), I expect to get an answer of 2, but the CAS shows 0. Home shows 2 if I use an x very close to pi/4. Can you figure out what I might be doing incorrectly?