If a series diverges to $+\infty$ Does it imply sequence from which series comes also diverges to $+\infty$?
2026-03-29 15:32:19.1774798339
Infinite real series diverging to $+ \infty$
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Nope. There are simple counterexamples:
$$ \sum_{n=1}^{+\infty} 1 = +\infty $$
The underlying sequence can even converge to zero! Usually the first example one is taught is the Harmonic series
$$ \sum_{n=1}^{+\infty} \frac{1}{n} = +\infty $$