Can You Prove This Using Fraction Division?

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Printed text on a light green background: If you graph the function f(x) = (1 - e^(1/x)) / (1 + e^(1/x)), you'll see that f appears to be an odd function. Prove it.


can someone prove this and show the process in detail? Many thanks :)
 
Hint: divide top and bottom of that fraction by $e^{1/x}$.