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lim(x->o)(e^(alphax)-e^(betax))/(sinalph...

`lim_(x->o)(e^(alphax)-e^(betax))/(sinalphax-sinbetax)`

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Lt_(x to 0)(e^(alphax)-e^(betax))/(sin alphax- sin betax)=

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lim_(xto0)(e^(tanx)-e^(x))/(tanx-x)=

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lim_(xto0) (e^(tanx)-e^x)/(tanx-x)=

lim_(xto0) (e^(tanx)-e^x)/(tanx-x)=

lim_(xto0) (e^(tanx)-e^x)/(tanx-x)=

lim_(xrarr0)(sinalphax)/(e^(betax)-1)(alpha,beta!=0) equals to

lim_(x to 0) (e^(13x)-e^(7x))/x