Lim       

x--> 1    (x-1)/log x

Asked by Shaikhshikha25 | 15th Oct, 2019, 12:09: PM

Expert Answer:

begin mathsize 16px style limit as straight x rightwards arrow 1 of space fraction numerator straight x minus 1 over denominator logx end fraction
Put space straight x space equals space 1 space plus straight h
straight x rightwards arrow 1 rightwards double arrow straight h rightwards arrow 0

limit as straight x rightwards arrow 1 of space fraction numerator straight x minus 1 over denominator logx end fraction equals limit as straight h rightwards arrow 0 of space fraction numerator 1 plus straight h minus 1 over denominator log open parentheses 1 plus straight h close parentheses end fraction
equals limit as straight h rightwards arrow 0 of space fraction numerator straight h over denominator log open parentheses 1 plus straight h close parentheses end fraction
equals limit as straight h rightwards arrow 0 of space fraction numerator 1 over denominator begin display style fraction numerator log open parentheses 1 plus straight h close parentheses over denominator straight h end fraction end style end fraction
equals 1 over straight e
end style

Answered by Sneha shidid | 16th Oct, 2019, 09:19: AM