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Message: <blockquote data-quote="BZNK" data-source="post: 1563368" data-attributes="member: 612517">Is it Right? Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)?Evaluate the limit, if it exists : lim x-->infinity (5^x-3x)/(e^x+5x^2)lim x-->infinity (5^x-3x)/(e^x+5x^2) => Infinity/InfinitySince it is infinity/infinity , we can use L'Hospital's rule.So: lim x-->infinity  (5x*ln5-3)/(e^x+10x) => Infinity/InfinitySince it is infinity/infinity , we can use L'Hospital's rule again.So:lim x-->infinity 5/(e^x-10) = 5/infinity = 0I just need to know if I did any mistakes.. if so.. please correct me..Thank You!</blockquote>