1. The problem statement, all variables and given/known data Is it always true that lim f(x) x-->infinity = lim f(1/t)t --> 0 lim f(x)x--> 0 = lim f(1/n)n-->infinity 3. The attempt at a solution How can you begin to prove or disprove these statements if you don't know what f is doing to x. In other words, lim f(x) could not exist or it could depending on what f(x) is doing to the x's right? So from where do I start?