What's the different between a 'converge' and 'diverge' integral?

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Discussion Overview

The discussion revolves around the distinction between convergent and divergent integrals, exploring their definitions and characteristics. It includes conceptual clarifications and technical explanations related to mathematical analysis.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • Some participants seek to clarify the terminology by asking about the difference between convergent and divergent integrals.
  • One participant suggests that a convergent integral has a finite limit, while a divergent integral has an infinite limit.
  • Another participant notes that a convergent integral evaluates to a number, whereas a divergent integral does not, as it approaches an infinite limit at one of the bounds.

Areas of Agreement / Disagreement

Participants generally agree on the basic definitions of convergent and divergent integrals, but the discussion remains somewhat informal and lacks detailed exploration of the concepts.

Contextual Notes

The discussion does not delve into specific examples or mathematical proofs that could further clarify the concepts of convergence and divergence in integrals.

jkh4
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What's the different between a 'converge' and 'diverge' integral?
 
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Do you mean what is the difference between a convergent integral and a divergent integral?
 
d_leet said:
Do you mean what is the difference between a convergent integral and a divergent integral?

yea, the different between a convergent integral and a divergent integral
 
jkh4 said:
yea, the different between a convergent integral and a divergent integral

One converges and one diverges..? One has a finite limit, the other has an infinite limit..? One evaluates to a number and the other does not( it has an infinite limit approaching one of the bounds).
 

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