bn=n−√n2+2n. Taking (1n)→0 as given, using Algebraic Limit Theorem, show lim(bn) exists and find value
The question also says to use the fact that if (xn)→x then √xn→√x. I've simplified the bn down to n(1−√1+2n), which appears to be going to zero as n gets large using the algebraic limit theorem. However, I know that limbn=−1. I'm stuck on how to prove this, and I haven't found any help elsewhere. Any advice would be helpful!
No comments:
Post a Comment