Karen bought 8.5 pounds of flour. She uses only 2.5 pounds of flour to make the bread. So, the amount of flour left after baking the bread = (8.5 - 2.5) pounds = 6 pounds So 6 pounds of flour is left. She breaks this 6 pounds of flour into several bags and each bag contains 2/5 pound of flour. Now to calculate the 2/5 th pound of flour in decimal, we get = 0.4 pounds So each of the bags contain 0.4 pounds of flour. Now we have to calculate the number of bags in which the flour have been kept. So, Number of bags required = 6/0.4 = 15 So 15 small storage bags are required by Karen to keep the remaining flour.
The sequence of functions converges to the function
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Step-by-step explanation:
The limit exists and converges to zero whenever . But, if the sequence is constant and all its terms are equal to , then converges to . Using this result, consider the sequence of functions defined on the interval by . Then, for all we have that . Now, if , then . Therefore, the limit function of the sequence of functions is
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To show that the convergence is not uniform consider . For any choose such that . Then