Question Number 82425 by zainal tanjung last updated on 21/Feb/20 | ||
$$\mathrm{Lim}\:\left(\frac{\mathrm{1}}{\mathrm{ex}}\right)^{\mathrm{6x}} =..... \\ $$$$\mathrm{x}\rightarrow\mathrm{0} \\ $$ | ||
Commented by abdomathmax last updated on 21/Feb/20 | ||
$${let}\:{f}\left({x}\right)=\left(\frac{\mathrm{1}}{{ex}}\right)^{\mathrm{6}{x}} \:\Rightarrow{f}\left({x}\right)={e}^{−\mathrm{6}{xln}\left({ex}\right)} \\ $$$$={e}^{−\mathrm{6}{x}\left\{\mathrm{1}+{lnx}\right)} \:={e}^{−\mathrm{6}{x}−\mathrm{6}{xlnx}} \rightarrow\mathrm{1}\:\left({x}\rightarrow{o}\right) \\ $$ | ||
Commented by zainal tanjung last updated on 21/Feb/20 | ||
$$\mathrm{Thanks}\:\mathrm{Sir} \\ $$ | ||
Commented by mathmax by abdo last updated on 21/Feb/20 | ||
$${you}\:{are}\:{welcome}\:{sir} \\ $$ | ||
Commented by zainal tanjung last updated on 23/Feb/20 | ||
$$\mathrm{Please}\:\mathrm{help}\:\mathrm{me}....!! \\ $$ | ||