I'm second guessing myself on Limits

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The discussion centers on whether the expression [1 - (U^2/W^2)]^(-1/2) can equal zero. The user explores the scenario where (U/W)^2 approaches infinity, leading to a limit analysis. They conclude that as (U/W)^2 tends to infinity, the expression approaches zero, despite the involvement of the imaginary unit 'i'. The conversation emphasizes that squaring both sides of the equation does not affect the limit outcome. Ultimately, the user is grappling with the implications of real versus imaginary results in this limit context.
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.
 
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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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