How to solve this sequence limit

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$$a_n=sqrtn^2+3n-n$$



I tried rationalizing, but got nowhere.










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  • A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
    – xbh
    10 mins ago














up vote
1
down vote

favorite












$$a_n=sqrtn^2+3n-n$$



I tried rationalizing, but got nowhere.










share|cite|improve this question





















  • A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
    – xbh
    10 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











$$a_n=sqrtn^2+3n-n$$



I tried rationalizing, but got nowhere.










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$$a_n=sqrtn^2+3n-n$$



I tried rationalizing, but got nowhere.







sequences-and-series limits






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asked 32 mins ago









Bili Debili

1387




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  • A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
    – xbh
    10 mins ago
















  • A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
    – xbh
    10 mins ago















A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
– xbh
10 mins ago




A better way to post is to show how you did the rationalization and explain why you thought you could go nowhere. These things would make your post easy to be accepted and to receive more advices to help you.
– xbh
10 mins ago










1 Answer
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accepted










$$a_n = sqrtn^2+3n-n = frac3nsqrtn^2+3n+n = frac3sqrt1+3n^-1+1 to frac3sqrt1+1 = frac32$$






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    1 Answer
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    active

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

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    active

    oldest

    votes








    up vote
    6
    down vote



    accepted










    $$a_n = sqrtn^2+3n-n = frac3nsqrtn^2+3n+n = frac3sqrt1+3n^-1+1 to frac3sqrt1+1 = frac32$$






    share|cite|improve this answer
























      up vote
      6
      down vote



      accepted










      $$a_n = sqrtn^2+3n-n = frac3nsqrtn^2+3n+n = frac3sqrt1+3n^-1+1 to frac3sqrt1+1 = frac32$$






      share|cite|improve this answer






















        up vote
        6
        down vote



        accepted







        up vote
        6
        down vote



        accepted






        $$a_n = sqrtn^2+3n-n = frac3nsqrtn^2+3n+n = frac3sqrt1+3n^-1+1 to frac3sqrt1+1 = frac32$$






        share|cite|improve this answer












        $$a_n = sqrtn^2+3n-n = frac3nsqrtn^2+3n+n = frac3sqrt1+3n^-1+1 to frac3sqrt1+1 = frac32$$







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        answered 29 mins ago









        Kenny Lau

        19.2k2158




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