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Proof of nonexistence of function limit in advanced mathematics. How to understand the third sentence and the second half sentence? It means that when a is not equal to 0, the product does not exist.
Refers to: a non-zero constant multiplied by a formula that the limit does not exist, and the result is that the limit does not exist.

Or the limit does not exist k times (k is not 0), and the limit still does not exist.

In addition, if a formula with a limit of 0 is multiplied by a formula with no limit, the result is uncertain and needs to be discussed.

Namely: 0×∝ type.

For example, when x tends to 0, (1/x) × (x), (1/x) × (x? )、( 1/x? )× (x)