show that if x is a real number then there is a sequence of irrational numbers converging to x
Follow Math Help Forum on Facebook and Google+
Originally Posted by spikedpunch show that if x is a real number then there is a sequence of irrational numbers converging to x If x is irrational take $\displaystyle \,\,a_n=x\frac{n+1}{n}$ , and if x is rational take $\displaystyle \,\, x\frac{\pi n+1}{\pi n}$ Tonio
I'm really shaky with my understanding of this stuff, so could you elaborate on what I would do with those sequences?
Originally Posted by spikedpunch I'm really shaky with my understanding of this stuff, so could you elaborate on what I would do with those sequences? What "to do" with them? Well, just convince yourself that indeed both of them are irrational sequences and that both converge to x...what else? Tonio
View Tag Cloud