When can we switch the limit and function?

Epsilon-delta definition explanation: • Epsilon Delta Limits i...
Bringing functions outside of a limit is very useful for calculating limits. But when does this rule work? This video gives a proof and explanation of why we can switch limit and function if the outside function is continuous and the inner limit exists.
Calculus Problems playlist: • Calculus Problems
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Music: OcularNebula - The Lopez