[FONT=Helvetica]Suppose we want to prove that: 1/2 * 3/4 ... 2n-1/2n < 1/sqrt(3n)
[FONT=Helvetica]for all positive integers.
[FONT=Helvetica](a) Show that if we try to prove this inequality using mathematical induction, the basis step works, but
[FONT=Helvetica]the inductive step...
Hi, i need help with 2 proofs based off of floor and ceiling.
1.)F[FONT=Verdana]or any real number x, if x is not an integer, then floor(x)[FONT=Verdana] + floor(-x) =- 1.2.[FONT=CMR10]For all real numbers [FONT=CMMI10]x, floor(floor([FONT=CMSY10]x/2)/2) [FONT=CMR10]= floor([FONT=CMSY10]x/4)...