Is the necessary and sufficient condition for a function to be a when x tends to infinity?
yes
When x tends to infinity, the limit is defined as a [for any | x | > m, it is constant]
It can be seen that the necessary and sufficient condition is
When x tends to positive infinity [for any x > m, there is a constant...] and
The limit of negative infinity is a [for any x ∞) an, which is actually:
lim(n->+∞)an
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