Finding the limit of a symbolic function

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Hi,
I am trying to find the limit of the following symbolic expression:
syms x
A=[0.8 0.6; -0.6 0.8]
f(x) = eig((0.9*A)^x)
limit(f(x), x, inf)
But cannot seem to get past the following error:
Error using mupadmex
Error in MuPAD command: An arithmetical expression is expected. [ln]
Am I missing the boat on the use of symbols, or does it have something to do with the eig() function I'm using?
I expect f(x) to return a set of complex numbers.
Thanks.

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