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## Main Question or Discussion Point

When the limit of a function turns out to be infinity ,how should we interpret it ?

For ex. we have [itex]\lim_{x \to 0}\frac {1}{x^2} = \infty[/itex]

What does this mean ?

Does it mean that the limit is ∞ or does it mean that the limit does not exist as ∞ is not a number ?

I would appreciate if someone could clarify this doubt .

For ex. we have [itex]\lim_{x \to 0}\frac {1}{x^2} = \infty[/itex]

What does this mean ?

Does it mean that the limit is ∞ or does it mean that the limit does not exist as ∞ is not a number ?

I would appreciate if someone could clarify this doubt .