In my last video I proved the limit law for limits using the precise definition of a limit and in this video I use that law to prove the constant multiple law. The constant multiple law basically states the limit of a constant times a function is the constant times the limit of the function. It is also a simple case of the product law, so the prove is pretty straight forward.
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Limit Laws – Proof of the Constant Multiple Law
Law 3: Constant Multiple Law
The limit of a constant times a function is the constant times the limit of the function
This limit law is in fact a simple case of the Product Law (Law 4, see proof in video link in the description below)