Question Number 173493 by mokys last updated on 12/Jul/22
$$\boldsymbol{{find}}\:\boldsymbol{{lim}}_{\boldsymbol{{x}}\rightarrow\mathrm{0}} \:\boldsymbol{{tan}}\left(\boldsymbol{{tanhx}}\right)−\boldsymbol{{tanh}}\left(\boldsymbol{{tanx}}\right) \\ $$
Answered by aleks041103 last updated on 12/Jul/22
$${just}\:{substitute} \\ $$$${tan}\left({tanh}\left(\mathrm{0}\right)\right)={tan}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$${tanh}\left({tan}\left(\mathrm{0}\right)\right)={tanh}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\Rightarrow{Ans}.=\mathrm{0}−\mathrm{0}=\mathrm{0} \\ $$$$\Rightarrow{Ans}.=\mathrm{0} \\ $$