Simplify e^infinity

Problem

e^∞

Solution

1. Identify the nature of the expression as a limit of the natural exponential function e^x as x approaches infinity.

2. Analyze the behavior of the exponential function, noting that e is a constant approximately equal to 2.718 which is greater than 1

3. Determine that for any base b>1 the expression b^x increases without bound as x increases.

4. Conclude that the value of the expression is infinity.

Final Answer

e^∞=∞

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