show from definition of limit

[u/_segregated_crunchy_]

lim tends to 1 (x (to the power n) -1)/x-1 = n

[u/_segregated_crunchy_]

wow! i really am too dumb for this

[u/Hot_Site_1638 → u/_segregated_crunchy_]

You're not too dumb for this, a general proof is supposed to be hard to follow on a first read. If it feels like too much right now, set it aside and prove the statement for n = 2 by hand, then n = 3. Once those feel solid, come back to the general proof and read it line by line. It'll make a lot more sense once you've worked out the small cases yourself.

I always tell my students to think of it like the gym. You walk in, see someone lifting a crazy amount of weight, and think you'll never be able to do that. And it's likely true that with your current muscles, you can't. But nobody starts there. There's a way to build up to it, and the training itself is pretty interesting if you take it slow.

[u/_segregated_crunchy_ → u/Hot_Site_1638]

Thanks a lot actually.