Lim x - 0dm x-bx-1-1- n-0

Lim_x→ 0a^mx 1/b^nx 1,n≠ 0 =lim_x→ 0a^mx 1/mx× mx ×1/lim_x→ 0b^nx 1/nx× nx =m log a/n log b,n ≠ 0 ...

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Substitution Method to Remove Indeterminate Form

lim x → 0dm x...

Question

${lim}_{x \to 0} \frac{a^{m x} - 1}{b^{n x} - 1}, n \neq 0$

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Solution

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