How do you find the limit of x/sinx as x approaches 0?

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##1##

Let ##f(x)=x/sinx##

##implies f'(x)=lim_(x to 0) x/sinx##

##implies f'(x)=lim_(x to 0) 1/(sinx/x)=(lim_(x to 0)1)/(lim_(x to 0)(sinx/x))=1/1=1##

NOTE The topic was posted in "Determining Limits Algebraically" , so the use of L'Hôpital's administration is NOT a befitting rule to unfold the problem

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