Evaluate e^infinity

Problem

e∞

Solution

1. Identify the expression as a limit of the exponential function ex as x approaches infinity.

2. Analyze the behavior of the exponential function ex where the base e is approximately 2.718

3. Determine that since e>1 the value of ex increases without bound as x increases.

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

Final Answer

e∞=∞

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