If 0

Question

If 0<a<b, find $lim_{n\rightarrow \infty} \dfrac{(a^{n+1}+b^{n+1})}{a^n+b^n}$ 
Please, help

loser66 · Answer

$$lim_{n\rightarrow \infty} \dfrac{(a^{n+1}+b^{n+1})}{a^n +b^n}$$

ikram002p · Answer

ok have u tried binomial them ?
to write a^n+1 +b^n+1 in terms of a^n+b^n

loser66 · Answer

How? I go on traditional way, so that it takes me a long process to get the lim =b. I would like to know whether there is a shortcut or other elegant solution or not.

ikram002p · Answer

wait sorry i dont know why i wrote that xD
bad fever xD
ill try something else

loser66 · Answer

I am sorry for your illness. Take a rest, friend. I can handle it. Just want to see another way(if there is) ;)

loser66 · Answer

attachment

ikram002p · Answer

http://math.stackexchange.com/questions/939031/how-to-find-the-limit-here/939035#939035

ikram002p · Answer

hehe yeah correct