I think you may have posted the limit incorrectly. The limit of all of that is equal to 10, as is, and must evaluated thusly. Is the limit simply the limit of f(x) as x goes to 1? Then, maybe, the problem states that that limit minus 8 divided by (x - 1) is equal to 10?
Hey all!
I was recently refreshing my memory of integration by parts via some personal reading when I thought, there must be a better way. Integration by parts (while creative in that it integrates the entire product rule) feels very arbitrary to what it's attempting to calculate (at least...
I've recently purchased a book on Quantum Physics, and I'm trying to get the basics down. At this point in time, I'm reading up on how Planck proposed that oscillators can only oscillate at discrete energies as opposed to on any amount of energy (on a theoretical continuous spectrum). This came...