Ziyonex

I agree that the first line is a bit odd. I understand that in Taylor series you expand about a point. I know the point I want to expand about is m so that I can obtain a good approximation for m + ∆m. I am uncertain what to expand, though. This is what I was thinking, but I'm lost. I just really want to be able to understand what to do when I see a problem like this.

I hate for this to be my first post here, as this is the kind of community I'd like to contribute to. Bad timing I guess. Basically, I am dealing with a "simple" Taylor expansion problem. I think the goal is to expand f(m) and f(∆m), and divide them part by part, but I do not know how to make that expansion. Rather than type out the problem and deal with formatting, I just took a screenshot of the problem. Can someone confirm that this is what I need to do, and maybe give me a hint as to how to expand this? It seems like, since m is in the denominator of a square root, taking n derivatives would accumulate a ton of junk. I guess it is only asking for an answer accurate to one significant figure though. Thank you.