00:01
You can use either the comparison test here or the limit comparison.
00:07
Here, let's just try using the usual, the direct comparison test.
00:11
So this series right here, i can replace this.
00:16
Well, first of all, actually, let me just keep it as an equal sign.
00:20
Let me just go to that denominator first and simplify that.
00:28
So i just have, if i just foil that all out, i have 2n squared plus 1 plus n to the 4th.
00:36
Now i can replace this with first of all let me make the numerator larger.
00:44
So i know that 5 is less than or equal to 5n.
00:48
So i'll just call this 5n plus 2n in the top.
00:53
So if you make a numerator larger, the fraction is a whole will get larger.
00:58
And not only that, i'll go ahead and make the denominator even smaller by just keeping the large term n to the fourth.
01:05
So here, 1 plus 2n squared plus n fourth is bigger than n to the fourth.
01:13
So i made my denominator smaller, and that also makes the fraction as a whole bigger...
