Currently we have here things like this:
def _eval_nseries(self, x, n, logx):
    ...
    arg = self.args[0]
    arg_series = arg._eval_nseries(x, n=n, logx=logx)
    if arg_series.is_Order:
       return 1 + arg_series
    arg0 = limit(arg_series.removeO(), x, 0)
    if arg0 in [-oo, oo]:
       return self
    ...

For me, it looks like we reinvent every time the
composition of series.  Am I wrong here?

Probably, this should go to sympy/core/function.py and
_eval_nseries for functions should have only positional
argindex argument, just like fdiff.

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