They are NOT the same

We know that 1/0 is undefined, but what about the limit of 1/x and 1/x^2? Can you tell the difference?

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Suggested reading:

1. Why is 1/0 undefined and not infinity? http://mathforum.org/dr.math/faq/faq.divideby0.html#:~:text=1%2F0%20is%20said%20to,not%20defined%2C%20or%20is%20undefined.

2. Epsilon-Delta Definition of a Limit https://brilliant.org/wiki/epsilon-delta-definition-of-a-limit/

3. How To Construct a Delta-Epsilon Proof http://www.milefoot.com/math/calculus/limits/DeltaEpsilonProofs03.htm

Timestamp:

0:00 Completely wrong 0:47 Concept of Limits 3:55 Definition of a Limit (Informal) 4:39 𝜀-𝛿 Definition of a Limit 6:22 Formal Definition of a Limit 7:50 Infinite Limits 9:17 Limits that failed to exist 10:23 Graphical explanation 11:26 I hope you're convinced 12:22 Conclusion

Let's do math for fun!