Limit assumes function is continuous?

[pelegm]

The following has surprised me:

x = Symbol('x')
f = Function('f')
print limit(f(x), x, 4)  ## prints f(4)

Is that the expected behaviour?

I think that Mathematica does not assume a generic function is continuous, and the result that Wolfram Alpha gives is

(no result found in terms of standard mathematical functions)

I believe that a better result would be simply to keep the limit unevaluated, unless we know something about f.

[skirpichev]

I believe that a better result would be simply to keep the limit unevaluated

Yes, I think so. We have the Limit class for this.

[skirpichev]

see also #7391