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Similar limits give very different behavior

The following code produces the expected right answer:

sage: var('x,h')
sage: f(x) = sin(x^2)
sage: lim((f(x+h)-f(x))/h, h=0)

The answer, of course, is 2xcos(x^2). However, the following code fails to complete:

sage: lim((f(pi+h)-f(pi))/h, h=0)

Sage just thinks and thinks and does not come up with an answer. This happens on two different versions I have access to, 5.2 and 5.0. What is happening?