In this video I go over the proof for the Sum Limit Law using the precise definition of a limit. The sum law states that the limit of a sum is the sum of limits. This is used throughout to prove limits of functions so make sure to understand why it is in fact true.
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Limit Laws – Proof of the Sum Law
Law 1: Sum Law
The limit of a sum is the sum of the limits
Recap on Precise Definition of a Limit:
If for every number ε > 0 there is a number δ > 0 such that:
Proof of Sum Law