Originally Posted by

**serenalee** Given that sequences a and b converges respectively, to the limits L1 and L2. Use def of limit of sequence to prove that if a>=b for all natural numbers n, then L1>=L2.

Answer given is,

Suppose on the contrary that L1 < L2. Let epsilon = (L2-L1)/2

, which is positive.

Let n = max(N1;N2) + 1. Then n > N1 and n > N2. So we have

...............

a) why are they using epsilon = (L2-L1)/2

b) what does it mean by 'n=max(N1,N2) + 1?' why using this?

calculus is really giving me headache now.