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.
In order for a function to have a limit at x =a, in your case a =0, then the limit when x approaches a from the right must equal the limit when x approaches a from the left. In this case, the limit from the left is -1 and the limit from the right is 1. So, the only candidates to limit of f at 0 are -1 and 1.