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Let(bn)be a bounded sequence of positive real number such that for any bounded positive sequence of real number we have:limsup(an bn)= limsup(an)limsup(bn). Prove (bn) is convergent sequence or on the other hand: I am having a hard time to solve this problem please help.
lim n->infinity bn/an=0 Here how can i find a sequence an and a sequence bn without using Ratio Test. The Limit above is true and the Ratio Test gives no conclusion about the convergence of either "sigma an or sigma bn" even though sigma bn is much smaller than the terms of sigma bn.
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
The Rourke family traveled 20 kilometers farther than the Clarke family. How many hours did each family spend on their boat trip?
Important information about Working with conditional probability. The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind".
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is un-favorable, Ken will suffer a loss of $200,000. But Ken has always been a very optimistic decis..
The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x -y =-0.85 estimates the price of gasoline in January of each year.
Calculate monthly deposits necessary to accumulate $13,800 after 5 years in account earning 6.75% compounded monthly?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
The correlation between weekly sales and shelf space.
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
Assuming a company is selling guitar at its list price of 1,899.90, with a cash discount of 3/10, n/30 sales tax is 7% and shipping is 30.40. What is the final price if cash discount period was met?
The probability that both defective lights will be found, A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
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