Series homework problem help

  • Thread starter lha08
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  • #1
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Homework Statement


Using Comparison test and LCT, determine whether it is convergent or divergent:

(summation n=1 to infinity) sqrt(n+2)/(2n^2+n+1)



Homework Equations





The Attempt at a Solution


i compared it with sqrt(x)/2n^2 which is 1/2n^(3/2)
and then the answer showed something weird...they had to plug in a number (e.g. 1) which reversed the inequality sign... to sqrt(n+2)/(2n^2+n+1) is larger than 1/2n^(3/2)...does anyone know why?
 

Answers and Replies

  • #2
Dick
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Then pick a different comparison. You want to make the numerator larger and the denominator smaller if you think it converges. Be creative! How about comparing with sqrt(n+n)/(2n^2)?
 

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