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lim x->-inf 1/2^x is the answer inf?
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no it's still 0
how come lim x-> -inf e^-x is inf
because in your case u're blowing up the denominator of a fraction... and the bigger it gets, the smaller the fraction gets.. but e^(-x) as x goes to -inf is e^(-(-inf))=e^inf=inf
I have just put this limit(1/2^x, x = -infinity) in maple and the answer has come infinity
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