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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.
10% of all doctors recommend a new headache medicine. if we randomly select 20 doctors (and assume independence), find the probability at least 2 recommend the medicine.
Find the dimensions of the box with maximum possible volume that can be sent through the service, assuming that the width and height of the box are equal.
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
Find the rate at which the water is draining from the tank after 5 minutes, 12 minutes, and 20 minutes.
An IRS auditor randomly selects 3 returns from 59 returns of which 10 contain errors. What is the probability of her selecting NONE of those that contain errors?
a farmer wants to fence off land along a river into five equal areas by using on section of fence parallel to the river and six sections perpendicular to it. what should the dimensions be to maximize the total area using 1200 feet of fence?
Determine the amount of each payment to be made to a sinking fund in order to pay off a $120,000 loan in 8 1/2 years when the funds earn interest
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = +1.85. Based on this result what is the correct statistical decision?
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
It took a small plan 1 hour longer to fly 480 miles against the wind than it took the plane to fly the same distance with the wind. If the wind speed was 20 mph, then what is the speed of the plane in calm air?
After all of these taxes are paid, Vanessa will have a larger amount. How much larger will that amount be? (Round your answer to the nearest cent.)
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
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