Hey guys, I was trying to do this problem and I think that im doing something wrong but i dont know what it is
So I am trying to find out if this problem absolutely converge, any help will be greatly appreciated.
?5?k+100/2k2?k+9?k
Use Ratio Test
lim
k->? |5?k+1 +100(2k2?k +9?k)/(2k+1)2?k+1+9?k+1(5?k)+100|
(5*2+9/2+9*5) lim
k->? |?k+1(?k + ?k)/k+1 + ?k (k+1)
19/47 lim
k->? |?k+1(?k + ?k)/k+1 + ?k (k+1)
So I am trying to find out if this problem absolutely converge, any help will be greatly appreciated.
?5?k+100/2k2?k+9?k
Use Ratio Test
lim
k->? |5?k+1 +100(2k2?k +9?k)/(2k+1)2?k+1+9?k+1(5?k)+100|
(5*2+9/2+9*5) lim
k->? |?k+1(?k + ?k)/k+1 + ?k (k+1)
19/47 lim
k->? |?k+1(?k + ?k)/k+1 + ?k (k+1)