When current flow reach indeterminate form

AI Thread Summary
The discussion centers on evaluating the current flow in a circuit when the function becomes indeterminate at x=2, specifically for the expression (√(x + 2)-2)/(x-2). It is established that the limit of this function as x approaches 2 is 1/4, indicating the current at that point. The validity of using this limit depends on the context of the problem. Participants express curiosity about the practical implications of such mathematical exercises in real circuit setups. The conversation highlights the importance of understanding limit problems in circuit analysis.
rajeshmarndi
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Homework Statement


If the current flow, in a branch of a circuit, is a function of say (√(x + 2)-2)/(x-2) (or any such that give an indeterminate form at a certain value) of an input source current x.

What current will be flowing on that part of the circuit, when the function become indeterminate form i.e when the input current x is increased to 2?

Homework Equations

The Attempt at a Solution


I know it is indeterminate form at x=2 and on evaluating its limit equal to 1/4.
 
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If it is indeterminate then it is indeterminate. Whether it is valid to use the limit as x approaches 2 from above depends on circumstances. Is this the whole question as given to you?
 
I was just curious to know, what current reading will it show, in such scenario.
 
It would be one of those 'limit' problems that are one of the most common problems, if not the most common, in the math section here.

If you gave an example of a real circuit setup that generates such a formula, it might help convince students (an to an extent me) that there is a point in these exercises. :oldsmile:
 

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