LIMIT _{x -> 0+} sqrt(x) * e^{(sin(pi/x))}
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The exponential factor oscillates between 1/e and e, so the limit is simply 0.
Originally Posted by kram19 LIMIT _{x -> 0+} sqrt(x) * e^{(sin(pi/x))} lim{x->0+} sqrt(x)*e^(sin(pi/x)) = lim{x->0+} sqrt(x)*e^(pi/x*sin(pi/x)/(pi/x)) = 0 Since lim{x->0+} sin(pi/x)/(pi/x) = 0
Thank you fkf makes sense don't know why i didn't think of that.
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