Applying the limit test
Show, by applying the limit test, that each of the following is true.
a) The functions f(n)= n(n-1)/2 and g(n)= n^2 grow asymptotically at equal rate.
b) The functions f(n)=log n grow asymptotically at slower rate than g(n)=n.
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There are three masses m1 = 2.0 kg, m2 = 5.0 kg and m3 = 7.0 kg. The mass are all affixed to a massless rod of length 15cm. m1 and m3 are at the ends and m2 is 10 cm from left where m1 is. Compute the center of mass of system.
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Show, by applying the limit test, that each of the given is true.
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