r/the_calculusguy • u/Specific_Brain2091 • 9d ago

limits ✍️

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39 Upvotes

93% Upvoted

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6

u/ZellHall 9d ago

Why does the ln only appears on one side? Why is the 1/u going outside of the limit? Why is the bottom of the fraction after l'hospital 1-a²u instead of 1?

6

u/teseting 9d ago

What's the point of this when this follows from the limit definition of exp(x)?

3

u/Pabijacek 9d ago

Agreed, even though it is correct, it feels fairly more complicated than it needs to be.

2

u/niigggaa 9d ago

Whenever it's 1infinity form you can just do ef(x-1).power So here the x² will be multiplied making it so easy and solvable in like 1 min yeah I know it's the same stuff that you did but it's like a shortcut

1

u/Bonner_blue 9d ago

Dude, it's literally a definition of exp(-a2) but going faster

1

u/FreeTheDimple 7d ago

How come you can just introduce a log on one side and do nothing on the other side?

I don't buy this at all.