A) 0
B) 1
C) \[log\text{ }a-log\text{ }b\]
D) \[log\text{ }a/log\text{ }b\]
E) does not exist
Correct Answer: C
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{a}^{x}}-{{b}^{x}}}{x}=\underset{x\to 0}{\mathop{\lim }}\,\frac{{{a}^{x}}-x}{x}-\underset{x\to 0}{\mathop{\lim }}\,\frac{{{b}^{x}}-1}{x}\]You need to login to perform this action.
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