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The series 4 (abLaj 2) 00 2*nl EaI (-1)" 7+z2y isDivergentAbsolutely convergentConditionally convergent...

Question

The series 4 (abLaj 2) 00 2*nl EaI (-1)" 7+z2y isDivergentAbsolutely convergentConditionally convergent

The series 4 (abLaj 2) 00 2*nl EaI (-1)" 7+z2y is Divergent Absolutely convergent Conditionally convergent



Answers

Determine whether the series is absolutely convergent, conditionally convergent or divergent. $$\sum_{k=1}^{\infty} \frac{4}{k}$$

In the course of argument, This is under form minus one about Cape was one on then they square for about a day of a game. Victorio, bigger from 40 and 50 day. In this question, we need to use the racial destiny on. Then we need to compute the living on the A K plus one over UK guest your ability. And then we get a limit off for the I gave us. When we get equal to the K plus one about you for about a bliss one If anybody cables One Pretoria for the a k religion dividing by multiply by reciprocal. So we play fraternity are okay square from bow. Okay. He had a far okay can concerned with this power here. Careful turn. You can be cancelled with this Victoria. And this for you can be outside a limit and they still about to accompany to one. Therefore, was that Uncle Chu on the far our side and in some hand limit off, I'm sort get the blessed one paternal cameras One concerned with the scale of this one. Therefore we have this one on Lee even in mind in case square and gang us to infinite Day and we say Escargots, Infinity, this one this limit him with goes to zero the forget nickel, Choose their own. Now you could use zero. And because there's more than one that formed by the ratio test, we conclude this race there will be convergent. Absolutely.

And even this is on a farm, Abe. Okay, over cable. Joe. Totally brok from 40 infinity In this question, we can use the root test here where we need to compute the limit on the route. OK, absolute, like a k N goes to infinity and then we get a limit. OK? Off the Abe. Okay. Over K square. Okay. Okay. Goes to infinity. You noticed? Then we can consider okay with about K. And then we have left with the limit. A book? I'm a great square gang goes to infinity. Here we see. We had a farm on the infinity on the infinity. Therefore we cannot plan. They love it and roll here. When they were younger limit, they lived in the evoking. Could you leave? Okay? They really did a job. Oh, okay. Could you, too? Okay. And again, we still have the infinity over infinity. And then we're blind on a little bit And rule here new again. A limit A. Okay, I am a Jew, And now SKG Infiniti. We're gonna go to infinity and infinity credit, and one therefore by the test blisters here will be They've

The question is under four minus one. Wow. Okay, 10 about candy. Valuable came for tile from 40 infinity in this question. And when you use the racial test here where we need to compute the limit under I canvas one over a k k goes to infinity on begin the limit. I gave this once again. The 10 boat came. That's going on the cable. One attire. They've anybody. Okay, so we need you want to play by reciprocal, okay for trying on the 10 about, Okay. We always say we can cancel the 10. Okay. With this power K for time with this for trial and then we have left with a limit of 10 over. Gave us one here at scale that you infinity, get Nico jitters there or here because they're smarter than one left for by the racial test, we conclude this race here will be convergent

In this question were given this recent off home minus one. Okay, former. Okay, Online a joke. A plus one. Pattaya from zoology. Infinity in this question and what you used are assured best now on interracial test. I need to computer limit. They came to swim over a k saying yes to infinite day. And then we get a little bit came, goes to infinity and gave us once We're gonna four game just going on The two came plus three Victorio. And now we develop a gay so we need to multiply by reciprocal. So that u K plus Kwan territorial over far okay, here noticed that we can consider for parking with this power and to keep its when every concerned with swim And then we have traveled to capers Three temps without UK Bless you. And therefore I guarantee on something the phone being outside their 404. Leave it off now one over to gave us three times with two gay plus two getting us to infinity And we have this limit equal to zero have four times on And cultures are because there's moment and one from by the racial test mysteries there will be convergent Absolutely


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