In a paper says that the limit when [tex]\alpha \to 0[/tex] with [tex]

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alejandrito29
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In a paper says that the limit when [tex]\alpha \to 0[/tex] with [tex]\sigma = \pm 1[/tex] of:

[tex]\frac{1}{4 \alpha}(1 + \sigma \sqrt{1 - \frac{8}{l^2} \alpha } )[/tex]

has a well defined limit only when [tex]\sigma = - 1[/tex],

¿why??...I don't understand
 
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Well, calculate the limit for sigma = -1, and see what happens when sigma = 1 (try to calculate it).