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## Main Question or Discussion Point

In all the problems I have done so far, the limit was already given. So the goal is to utilize the theorem to see whether the limit really holds.

But what's the point? If we already know how to find the limit, why must we go through a process of ingenuity algebra to tell ourselves, "okay it works and it only took us [insert a very long time]"

Are there people who are

I mean I finally understood how to use Epsilon definition (and it's true meaning thanks Mark44), but it looks like I am just computing limits backwards with this method

But what's the point? If we already know how to find the limit, why must we go through a process of ingenuity algebra to tell ourselves, "okay it works and it only took us [insert a very long time]"

Are there people who are

*that*skeptical? Yes I realize the math was created before computers, but what's the point of having it now? If you seriously need a theorem with fancy words and symbols to confirm that your limit is right, doesn't that mean you are just unsure of what you are doing?I mean I finally understood how to use Epsilon definition (and it's true meaning thanks Mark44), but it looks like I am just computing limits backwards with this method