I'm working with limits (pretty basic, but still) right now, and I usually do pretty well with them having had Calc I before. However, this one problem has me stumped.
I have to find the limit as h approaches 0 of 8/x^2.
This is using the definition; take the limit as h approaches 0 of [f(x+h)-f(x)]/h
I can get it to the limit as h approaches 0 of [8/(2xh)+8/(h^2)]/h, but then I get stuck. I'm not even sure if this is right, actually, but I keep getting this far no matter how many ways I try to do it and then I can't get any farther. One thing I tried was to factor out a 1/h, and get rid of it that way, but I got 8/2x+8/h and then got stuck.
Any help would be greatly appreciated!
EDIT: I found something that I did wrong with the fraction at the beginning. Hopefully I can figure this out, but I haven't gotten an answer yet...
EDIT 2: Okay, now I'm stuck on the limit as h approaches 0 of [8/(x^2+2xh+h^2)-8/x^2]/h.
