I'm second guessing myself on Limits

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The discussion centers on the mathematical expression [1 - (U^2/W^2)]^(-1/2) and whether it can equal 0. The user explores the limit as (U/W)^2 approaches infinity, concluding that the expression approaches 0, even when considering the imaginary unit 'i'. The conversation emphasizes the importance of understanding limits in calculus, particularly in relation to complex numbers and their implications in real-world physics scenarios.

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Ithina
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Homework Statement



Can [1 - (U^2/W^2)]^(-1/2) equal 0?


Homework Equations


I don't think the other equations are needed.. This is just a tangent of mine from last Physics' lecture.


The Attempt at a Solution



I set the (U/W)^2 part to infinity.
0 = 1 / sqrroot(1 - infinity)

which is:
0 = 1 / infinity*i

I know (1/infinity) goes to 0, but does the (i) change anything other than make it not real? I'm not worried if it's real or imaginary at the moment.
 
Last edited:
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you're right it is a bit different however as you see you could always just square both sides which shouldn't make a difference to the limits and you'll still see that it limits to 0 (from the negative)
 

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