Find the limit of LIM (x → 0) e divided by in X
lim e^(1/x) / lnx
= lim(t=1/x→+∞)[e^t / ln(1/t)]
=-LIM (e ^ t / LNT) (∞ / ∞ type, using lobita's law)
=-lim(t·e^t)
=-∞
Therefore, the original limit does not exist, but tends to be negative infinity
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