Mathematics, 20.08.2021 17:50, Kurlyash
Let (sn) [infinity] n=1 be an enumeration of positive rational numbers in (0, 2]. This means that 0 < sn ≤ 1 is rational for every n and every positive rational number in (0, 2] appears in the sequence exactly once. (a) (4 pts) What is the set of all subsequential limits of (sn)? Justify your answer. (b) (4 pts) Find lim sup sn and lim inf sn. (c) (4 pts) What is the exact interval (end points must be discussed) of convergence of the power series X[infinity] n=1 snx n ? Justify your answer. (d) (4 pts) Does the power series X[infinity] n=1 snx n n2 represent a continuous function on [−1, 1]? Justify your answer.
Answers: 3
Mathematics, 21.06.2019 13:30, TheOneandOnly003
Which statement is not always true for a parallelogram? (a) opposite sides are congruent. (b) diagonals bisect each other. (c) it has 4 congruent angles. (d) consecutive angles are supplementary.
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Mathematics, 21.06.2019 15:30, yhbgvfcd6677
Fabian harvests 10 pounds of tomatoes from his garden. he needs 225 pounds to make a batch of soup. if he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can fabian make?
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Mathematics, 21.06.2019 19:30, leilanimontes714
Solve the following simultaneous equation by using an algebraic method (either substitution or elimination) 2x + 3y=-4 4x-y=11
Answers: 1
Let (sn) [infinity] n=1 be an enumeration of positive rational numbers in (0, 2]. This means that 0...
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