a>b>0
And I need to prove that An and Bn converge, and to calculate their limit.
Now, I proved that they converge, and that their limits are equal, but I can't find their limit.
Show that: $\displaystyle a>a_1>a_2>\cdots>a_n>b_n>b_{n-1}>\cdots>\>b_1>b$
I already did this, it just helps to prove that the sequences converge, and that their limit is the same, but it's not helping for finding out the limit.