Rational Sequences involving Exponentials

Project ID: 
6000000061
Accepted: 
Type: 
Layout: 
Question: 
Let there be limits of sequences and a set of numbers. Assign a correct value/number for each limit. Given limits of sequences and values, assign the correct value to each of the limits.
Questions Title: 
Limits of the sequences
Answers Title: 
Values
Question 1: 
$\lim_{n\to\infty}\frac{2^n+1}{3\cdot2^n+2}$
Answer 1: 

$\frac13$

Question 2: 
$\lim_{n\to\infty}\frac{-3\cdot4^n+4\cdot3^n}{2\cdot4^n-4\cdot2^n}$
Answer 2: 

$-\frac32$

Question 3: 
$\lim_{n\to\infty}\frac{5^n+6\cdot4^n}{3^n+2\cdot2^n}$
Answer 3: 

$\infty$

Question 4: 
$\lim_{n\to\infty}\frac{2^n+3^n}{4^n+5^n}$
Answer 4: 

$0$

Question 5: 
$\lim_{n\to\infty}\frac{2^{n+1}+3^{n+1}}{3^n+2^n}$
Answer 5: 

$3$

Question 6: 
$\lim_{n\to\infty}\frac{3\cdot2^n+2}{2^{n+1}+1}$
Answer 6: 

$\frac32$

Tex: 
%tiket 32154 \NastavOT{2} \NastavOD{3}