JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    \[{{x}^{(x-1)-\frac{1}{2}{{(x-1)}^{2}}+\frac{{{(x-1)}^{3}}}{3}-\frac{{{(x-1)}^{4}}}{4}+....}}\] is equal to   AIEEE  Solved  Paper-2002

    A) \[\log \,(x-1)\]                     

    B) \[\log \,\,x\]                         

    C) \[x\]      

    D)           None of these

    Correct Answer: C

    Solution :

                       \[{{e}^{(x-1)-\frac{1}{2}{{(x-1)}^{2}}+\frac{1}{3}{{(x-1)}^{3}}-...}}\]                    \[={{e}^{\log (1+x-1)}}=x\]


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