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CBSE Class 12-science Answered

Lim        x--> 1    (x-1)/log x
Asked by Shaikhshikha25 | 15 Oct, 2019, 12:09: PM
answered-by-expert 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 | 16 Oct, 2019, 09:19: AM

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