Question

lim n-->infinity,
(3^n + 2^n)/6^n

Answer 1

U can write it as (1/2)^n + (1/3)^n

Answer 2

Now, 1^(anything) =1

Answer 3

and 1^n as n---> infinity = infinity
That should help

Answer 4

Start by rewriting the bottom into 2^n+3^n. Now, you can rewrite the whole expression into a format like:

Answer 5

\[\frac{ a+b }{ab }\]

Answer 6

which is the same thing as:

\[\frac{ a }{ ab }+\frac{ b }{ab}\]

Answer 7

so you end up with 1/a + 1/b, where if you take the limit as x-> infinity, it approaches...you finish the rest :)