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Question-92214




Question Number 92214 by hovero clinton last updated on 05/May/20
Commented by mathmax by abdo last updated on 05/May/20
for x→0^+   we see (1/(lnx))<0   so we can t use expo ...!  perhaps the  Q is gind lim_(x→0^+ )     (−(1/(lnx)))^(1/(ln(e^x −1))) ....
$${for}\:{x}\rightarrow\mathrm{0}^{+} \:\:{we}\:{see}\:\frac{\mathrm{1}}{{lnx}}<\mathrm{0}\:\:\:{so}\:{we}\:{can}\:{t}\:{use}\:{expo}\:…!\:\:{perhaps}\:{the} \\ $$$${Q}\:{is}\:{gind}\:{lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\:\left(−\frac{\mathrm{1}}{{lnx}}\right)^{\frac{\mathrm{1}}{{ln}\left({e}^{{x}} −\mathrm{1}\right)}} …. \\ $$

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