I will introduce the epsilon-N definition of a limit and will also show you how to write a rigorous proof for a limit as x goes to infinity. I will help you understand the definition by using a specific epsilon value, graphs of the function, and the line y=L-epsilon, and solving for a corresponding N. And remember "given, choose, suppose, and check".
#calculus #math #maths #college #blackpenredpen
This is similar to the epsilon-delta proofs for limits and you can check out that introduction here: 👉 [ Ссылка ]
0:00 I will help you understand the εN definition for a finite limit at infinity
0:19 the 4 main cases of a rigorous definition of a limit
2:24 the εN definition
4:14 how to easily write a rigorous limit proof
11:32 an actual example with ε=0.02 and find a N
#calculus #blackpenredpen #realanalysis #math #college
🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6
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