I had a piece of carpet leftover from our living room installation. There is a pass thru that is in high traffic area and I thought it would be nice to use a matching piece but I didn't want to spend a lot of money as I expect it to get dirty quickly and need replacing. I thought that this would be worth a try.
Section 1.4, Limits involving inï¬nity p. 45 (1/3/08) The trigonometric functions do not have limits as x â Â±â because they are periodic. The inverse. sine and cosine functions do not have limits as x â Â±â because they are deï¬ned only for â1 â¤ x â¤ 1. The.
It means there's a single number L such that no matter how close I specify, the function not only gets that close, but stays that close. So you can visualize it as a narrowing triangle with L the axis and as x goes to infinity, f(x) remains in that triangle. Now you can see that sinx and cosx can't have a limit because there's no narrowing triangle that would contain them, Notice the difference with something like sinx/x.