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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,∞]

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{a}^{{sinx}} −{c}^{{sinx}} }{{m}^{{sinx}} −{n}^{{sinx}} }=? \\ $$$$\forall\left\{{a},{c},{m},{n}\right\}\in\left[\mathrm{0},\infty\right] \\ $$

Commented by infinityaction last updated on 03/May/22

((log _e (a/c))/(log _e (m/n)))

$$\frac{\mathrm{log}\:_{{e}} \left({a}/{c}\right)}{\mathrm{log}\:_{{e}} \left({m}/{n}\right)} \\ $$

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