Question

$Li{m}_{x\to 1}\frac{\sin (e^x-1)}{\log x}$

Answer 1

${lim}_{x\to 1}\left(\frac{sin(e^x-1)}{logx}\right)asx\to 1,sin(e^x-1)\to sin(e-1)=finitevaluebutx\to 1,logx\to 0\therefore {lim}_{x\to 1}\left(\frac{sin(e^x-1)}{logx}\right)=notdefined$