Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

Evaluate lim x→0 (a^x - 1) / x
Options
A log a
Correct Answer
B log a
C 1
D infinity
Correct Answer

Option A is the correct answer.

Detailed Explanation

This is a standard limit definition in calculus. The limit lim x→0 (a^x - 1) / x is equal to ln a (the natural logarithm of a).Assuming 'log a' in the options refers to the natural logarithm (ln a), then option A is correct.

Hint

Recall the standard limit for the derivative of a^x at x=0.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 322 of 930
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