Question

(2^n+4^n )/(3^n+4^n) is this convergent when n is from 1 to infinity ???????

Answer 1

i thought some one already posted the answer??

Answer 2

i solved until it looks like \[((1/2)^{n}+1)/((3/4)^{n} +1)\]

Answer 3

\[\frac{2^n + 4^n}{3^n + 4^n}\]
\[\large{\frac{(\frac{2}{4})^n +1}{(\frac{3}{4})^n +1}}\]

Answer 4

can anyone tell me how after that step the whole thing becomes convergent??

Answer 5

If you multiply a fraction by itself it becomes smaller so the ^n terms disappear at infinity leaving 1

Answer 6

oh..thnx!