Hey guys, im looking for step by step help proving this identity. Im sans a calc book right now and i cant figure it out...
Again, a step by step would be most useful, my calculus is a little rusty, and i'm having to do this stuff for a computer algorithms course. I dont just need this particular answer, i need to be able to reproduce it on other questions.
Thanks a ton!
Try induction. For the inductive step, you assume that it is true for and you want to show that this implies this is true for , i.e. we want to show that
So start with the LHS and notice that:
Factor and you'll get what we were after. So by the principle of mathematical induction, your identity is true for all