Evaluate the exponent of the exponential function as x approaches -infinity.

Step 1: Evaluate the exponent of the exponential function as x approaches -. Let u = (1)/(x). As x -, the value of (1)/(x) approaches 0. Specifically, since x is negative, (1)/(x) approaches 0 from the negative side (0^-). Step 2: Substitute the new limit variable into the expression. The original limit can be rewritten in terms of u: _u 0^- e^u Step 3: Evaluate the exponential function at the limit point. The exponential function e^u is continuous everywhere. Therefore, we can directly substitute the limit value into the function. e^0 = 1 The final answer is 1. 3 done, 2 left today. You're making progress.