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The value of lim(xto 0)(e-(1+x)^(1//x))/...

The value of `lim_(xto 0)(e-(1+x)^(1//x))/(tanx)` is

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Evaluate lim_(xto0) (e-(1+x)^(1//x))/(x) .

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lim_(xto0+)(e^x+x)^((1)/(x))