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Convergence tests

  • Thread starter MozAngeles
  • Start date
  • #1
101
0

Homework Statement


Does ∫dx/sqrt(x^4+1) from x=-∞ to x=∞ converge or diverge?
explain in detail if you can please.
thanks




Homework Equations


limit comparison test
direct comparison


The Attempt at a Solution

....well i have the answer, it converges. I just need a better explanation than the solutions manual gives.

the first thing i did was break it up into ... ∫dx/√(x4+1) from x=-∞ to x=0 +∫dx/√(x4+1) from x=0 to x=∞ then i was stuck, now i'm here...
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
i think a comparison test would work well here...
 

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