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Find lim(xto0) [x]((e^(1//x)-1)/(e^(1//x...

Find `lim_(xto0) [x]((e^(1//x)-1)/(e^(1//x)+1)),` (where `[.]` represents the greatest integer funciton).

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AI Generated Solution

To solve the limit problem, we need to evaluate the limit of the expression as \( x \) approaches \( 0 \) from both the right (0+) and the left (0-). The expression we are dealing with is: \[ \lim_{x \to 0} \left[ x \cdot \frac{e^{1/x} - 1}{e^{1/x} + 1} \right] \] where \([.]\) represents the greatest integer function. ...
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