- #1
transgalactic
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i got (n^2+1)/n
when n->infinity the limit is infinity.
what is the formal proof that a sequence diverges ?
when n->infinity the limit is infinity.
what is the formal proof that a sequence diverges ?
transgalactic said:i got (n^2+1)/n
when n->infinity the limit is infinity.
what is the formal proof that a sequence diverges ?
A sequence is a list of numbers that follow a specific pattern or rule.
A sequence can be proven to diverge if the terms in the sequence approach infinity or negative infinity as the index of the terms increases.
A formal definition of a divergent sequence is a sequence in which the limit of the terms does not exist or is equal to infinity or negative infinity.
A divergent sequence does not have a finite limit, while a convergent sequence has a finite limit.
No, a sequence can only diverge to infinity or negative infinity, it cannot have a specific value as its limit.