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lim x to 0 frac a x 1 x text is equal to
Question:
$ \lim_{x \to 0} \frac{a^x - 1}{x} $ is equal to
IPU CET - 2016
IPU CET
Updated On:
Dec 11, 2025
\(a\)
\(\log a\)
\(0\)
\(\infty\)
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The Correct Option is
B
Solution and Explanation
Using standard limit identity: \[ \lim_{x \to 0} \frac{a^x - 1}{x} = \log_e a = \ln a \]
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