  The connection between renormalons and power corrections is investigated for
the typical infrared renormalon integral assuming the effective coupling
constant has an infrared fixed point of an entirely perturbative origin. It is
shown that even then the full answer differs from the Borel sum by a power
correction. A comparaison with the analogue results when the fixed point is
generated by the explicit addition of non perturbative power suppressed terms
is given.
