## anonymous one year ago what is the limit when x approaches 0 from the left when intx

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1. Owlcoffee

Lateral limits consider only a certain region of the enviroment defined by the tendency, in this case, the left side, which implies "values smaller than". So therefore: $\lim_{x \rightarrow 0^-}kx$ Will be a limit that considers all the values of x that satisfy the condition $$x<0$$ or in more technical terms $$E^-((0-x),0)$$ this means "an enviroment with center "0" and radius "x" on the left side. And what are the only values on the real numberline that satisfy that $$x<0$$ ? Well those would be the negative numbers, and even infinitely close to x=0 we will have values, therefore we deduce that "x" will have negative values: $\lim_{x \rightarrow 0^-}k(-x)=-kx$