0 votes
in Sets, relations and functions by (90.1k points)
edited by
The \(\lim _{x \rightarrow \infty}\left(\frac{3 x-1}{3 x+1}\right)^{4 x}\) equals
(A) 1
(B) 0
(C) \(\mathrm{e}^{-8 / 3}\)
(D) \(e^{-4 / 9}\)

3 Answers

0 votes
by (90.1k points)
Ans: (C)
Hint \(: \lim _{x \rightarrow \infty}\left(\frac{3 x-1}{3 x+1}\right)^{4 x}=1^{\infty}=e^{L}=e^{-\frac{8}{3}}\)
ash Educational Services Limited - Regd. Office:
\(L=\lim _{x \rightarrow \infty} 4 x\left(\frac{3 x-1}{3 x+1}-1\right)=\lim _{x \rightarrow \infty} 4 x\left(\frac{-2}{3 x+1}\right)=\frac{-8}{3}\)
0 votes
by
tadalafil 40 mg <a href="https://ordergnonline.com/">levitra or cialis</a> buy ed meds online
0 votes
by
tadalafil 20mg price <a href="https://ordergnonline.com/">tadalafil 20mg drug</a> buy erectile dysfunction meds
...