Question with limits in calculus!?

How is the lim of (1/[1+e^(1/x)] as x approaches 0 positive = the limit (1/[1/(e^t)]) as x approaches positive infinity?!?! please help!!

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  • 1 decade ago
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    Because e^(1/x) goes to infinity as x goes to zero. Adding the one doesn't stop it from goint to infinity. So 1/(1+e^(1/x)) goes to 0. Just like 1/e^t as t goes to infinity.

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