Examine continuity of function     f(x) = e1/x-1 / e1/x+1   at  x=0

Hi!
Here is the answer to your question.
So, LHL at x = 0
 
Consider the right hand limit, RHL at x = 0
Since, LHL ¹ RHL at x = 0
Thus, f (x) is not continuous at x = 0
 
 Cheers! 

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