Thank you for your reply. I'm a little confused with the part with T(3)= aT(2)+ b, shouldn't this be T(3)= aT(2)+ bn? I'm confused as to where the n went that was on the end.
I have a recurrence equation of the form T(n) = aT(n - 1) + bn where T(1) = 1. In trying to solve this equation, I have tried a top-down and bottom-up approach of "unrolling the equation" but found that I am still having trouble and am unable to solve. Any advice would be appreciated.
I'm trying to figure out the growth rate of a function. Below is what I believe to be the solution, but I'm wondering if I've properly taken into account all the factors necessary, so I wanted to see if this appears correct.
$$\Large\frac{3(n+1)^{\frac{2}{3}}}{2}-\frac{3(1)^{\frac{2}{3}}}{2}$$...
Thank you for your reply and answer. Do you happen to have any sites I could look at that include examples of simplifications of this manner? I'm unfortunately unable to find any that show examples with fractional exponents and I'm a little confused as to some of the steps. Thanks again.
[FONT=monospace]I'm sorry about that. I'm also having some trouble understanding the Latex syntax so hopefully this makes it a little clearer.
x2/3
________
x/log2(x)
as x approaches infinity.
Hello, I am working on some limit problems and ran into one in which I am lost on how to proceed with:
The problem is:
lim
x -> infinity
x^(2/3)
x/(log^2(x))
I have a basic understanding of L'Hopital's Rule and attempted to apply it, but just ended up with a confusing mess. I'm assuming I'm...