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Sally wrote on her midterm exam that the definition of the limit is the following: The sequence {an} converges to the real number L if for every e>0 we have |an-L| < e for all n∈N. Show Sally why she is wrong by demonstrating that if this were the definition of the limit then it would not be true that lim n→∞ (1/n) = 0.
MATH 16A WORKSHEET 4. Compute the derivative of f(x) =1/√(x4+1) at x = 0. Find the equation of the tangent line to f(x) = 2/√(x-1) at x = 4
Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.
In a lengthy manuscript it is discovered that only 13.5% of the pages contain no typing errors. If we assume that the number of errors per page is a random variable with a Poisson distribution, find the percentage of pages that have exactly one or..
State the slope and y-intercept of the graph
find a connected graph with n edges that cannot be disconnected by the removal of any single edge.
Suppose you just received a shipment of SIX televisions. THREE of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one does not work?
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current.
Suppose that each time that you buy a car, you choose between Ford and General Motors. Suppose that each time after the first, you stay with the same company with probability 2/3 and switch with probability 1/3
suppose the following game. a player rolls two dice. if the outcome on both dice is the same doubles the player wins 5.
The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the varia..
Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
Describe a recent Gallup poll. Be sure to include the results of the poll, how the poll was conducted, and what the results will be used for
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