Let $a > 1$ And $b > 1$ Find the Value of the Limit

question 254

Multiple Choice

Let $a > 1$ and $b > 1$ . Find the value of the limit $\lim _ { x \rightarrow 0 } \frac { a ^ { x } - b ^ { x } } { x }$ .

• A)0
• B)1
• C) \(a - b\)
• D) \(b - a\)
• E) \(\ln ( a - b )\)
• F) \(\ln ( b - a )\)
• G) \(\ln \left( \frac { a } { b } \right)\)
• H) \(\ln \left( \frac { b } { a } \right)\)

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