# How do you find the limit of #e^(1/x)# as x approaches #0^-#?

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To find the limit of e^(1/x) as x approaches 0^-, we can substitute a sequence of values approaching 0 from the left side into the function.

As x approaches 0 from the left side, the value of 1/x approaches negative infinity.

Using the limit properties, we can rewrite the expression as e^(1/x) = e^(-1/|x|) = 1/e^(1/|x|).

As x approaches 0 from the left side, |x| approaches 0, and thus 1/|x| approaches positive infinity.

Therefore, the limit of e^(1/x) as x approaches 0^- is 1/e^∞, which simplifies to 0.

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