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

Answers (1)

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.

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