What is the limit of (e^x - 1) / x as x approaches 0?
Answer and explanation
Correct answer: A. 1
- Step 1: This limit represents the derivative of e^x at x = 0. Step 2. Using L'Hopital's rule, derivative of e^x - 1 is e^x, derivative of x is 1. As x -> 0, e^0 / 1 = 1. Answer: 1. Why not the others: 0 evaluates the numerator only; e is e^1; infinity assumes dividing by zero without considering limit.
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