\( \lim _{x \rightarrow 0} \frac{15^{x}-3^{x}}{5^{x}-1} \)

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khushboo4720 · Answer 1 · 2024-02-05T16:26:21+0000

\( \begin{array}{l}\lim _{x \rightarrow 0} \frac{3^{x}\left(5^{x}-1\right)}{\left(5^{x}-1\right)}=3^{x} \\ \lim _{x \rightarrow 0} 3^{x}=1\end{array} \)

hence, 1 is answer by slight changes in O approaching by O approaching form

\( \lim _{x \rightarrow 0} \frac{15^{x}-3^{x}}{5^{x}-1} \)

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