If numerator is zero, then limit is infinite?

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please someone aware me

[JG89]

lim x-> a (0/x) = 0

and

lim x-> +/- infinity (0/x) = 0

Since 0/x = 0 for all nonzero x

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thanks

[Mark44]

lim x-> a (0/x) = 0

and

lim x-> +/- infinity (0/x) = 0

Since 0/x = 0 for all nonzero x

But, if both the numerator and denominator are approaching zero, then all bets are off. The limit of this rational expression could be any real number or infinite.