Question Number 169565 by mathlove last updated on 03/May/22
![lim_(x→0) ((a^(sinx) −c^(sinx) )/(m^(sinx) −n^(sinx) ))=? ∀{a,c,m,n}∈[0,∞]](https://www.tinkutara.com/question/Q169565.png)
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{a}^{{sinx}} −{c}^{{sinx}} }{{m}^{{sinx}} −{n}^{{sinx}} }=? \\ $$$$\forall\left\{{a},{c},{m},{n}\right\}\in\left[\mathrm{0},\infty\right] \\ $$
Commented by infinityaction last updated on 03/May/22
$$\frac{\mathrm{log}\:_{{e}} \left({a}/{c}\right)}{\mathrm{log}\:_{{e}} \left({m}/{n}\right)} \\ $$