Find lim as n--> infinity of 2n/(1+3sqrt(n))
since its infinity over infinity use L'Hospitals rule
2 / (3/2 n^-1/2)
OK so i know this is wrong and i know it should be
2sqrt(n) / (3/2)
but i dont get why only the n^(-1/2) comes up to the top and the 3/2 stays in the denominator cause i thought the 3/2 and n^-1/2 should go up top since they are connected (multiplying).