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## Main Question or Discussion Point

I was wondering whether a sequence like

[tex]x_n=n\sin n[/tex]

converges* to infinity or diverges.

I'm pretty sure it goes to infinity but it still oscillates.

*Let's say we are in the extended real number system where we can converge to infinity

EDIT: I mean

[tex]x_n=n+\sin n[/tex]

[tex]x_n=n\sin n[/tex]

converges* to infinity or diverges.

I'm pretty sure it goes to infinity but it still oscillates.

*Let's say we are in the extended real number system where we can converge to infinity

EDIT: I mean

[tex]x_n=n+\sin n[/tex]

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