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Evaluate Limit (sin x log x) As x-->0

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Solution:   We have ,

                    lim_x o0(sin x log x) 

           It is a (0 imes infty )  Form . Let us write

       Rightarrow          lim_x o0(sin x log x)=lim_x o0fraclog x\csc x

      Rightarrow           lim_x o 0fracfrac1xcsc xcot x=-lim_x o0fracsin xx an x=0.

Posted by

Deependra Verma

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