Question

plse solve this

Answer 1

\[\lim_{n \rightarrow \infty} \frac{5(3^n+1)-4(7^n+1)}{2\times 3^n+9 \times 7^n}\]

Answer 2

have u tried it yet?

Answer 3

yes..

Answer 4

well id probably say divide num and denum by \(7^n\)\[\lim_{n \rightarrow \infty} \frac{5(3^n+1)-4(7^n+1)}{2\times 3^n+9 \times 7^n}=\lim_{n \rightarrow \infty} \frac{5((\frac{3}{7})^n+(\frac{1}{7})^n)-4(1+(\frac{1}{7})^n)}{2\times (\frac{3}{7})^n+9}\]use the fact that \((|a|<1)^n \) will be zero as n approaches to infty

Answer 5

oh yes..now, i got -4/9

Answer 6

@mukushla
thank u so much

Answer 7

very welcome :)