Lim(x/e)^((x-e)^-1),x→e
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Lim(x/e)^((x-e)^-1),x→eLim(x/e)^((x-e)^-1),x→eLim(x/e)^((x-e)^-1),x→eLim(x/e)^((x-e)^-1)=lim(1+(x-e)
Lim(x/e)^((x-e)^-1),x→e
Lim(x/e)^((x-e)^-1),x→e
Lim(x/e)^((x-e)^-1),x→e
Lim(x/e)^((x-e)^-1)
=lim(1+(x-e)/e)^[(x-e)^-1]
=lim(1+(x-e)/e)^[e/(x-e)]*(1/e)
=e^(1/e)
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