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Problem 18 - Entrance Test

What is the value of the limit as x approaches 0 of (e^x - 1)/x?

Correct: B

To evaluate the limit of (e^x - 1)/x as x approaches 0, we can use L'Hopital's Rule. L'Hopital's Rule states that if a limit is of the form 0/0, we can take the derivative of the numerator and denominator and evaluate the limit of the resulting quotient. Applying L'Hopital's Rule, we get lim (x→0) (e^x)/1 = e^0 = 1.