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Limits of sequences Find the limit of the following sequences or determine that the limit does not exist.
11.
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Calculus: Early Transcendentals, 2nd Edition
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Thomas' Calculus: Early Transcendentals (14th Edition)
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Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
- Counting when Order Does Not Matter This is a continuation of Exercise 15. In many situations, the number of possibilities is not affected by order. For example, if a group of 4 people is selected from a group of 20 to go on a trip, then the order of selection does not matter. In general, the number C of ways to select a group of K things from a group of n things is given by C=n!k!(nk) if k is not greater than n. How many different groups of 4 people could be selected from a group of 20 to go on a trip? How many groups of 16 could be selected from a group of 20? Your answers in parts a and b should have been the same. Explain why this is true. What group size chosen from among 20 people will result in the largest number of possibilities? How many possibilities are there for this group size?arrow_forwardArithmetic and Geometric Sequences Find the values of x and y for which the sequence 2, x, y, 17, is, a arithmetic b geometricarrow_forwardFibonaccis RabbitsFibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair that becomes productive at age 2 months. If we start with one newborn pair, how many pairs of rabbits will we have in the n th month? Show that the answer if Fn, where Fn is the n th term of the Fibonacci sequence.arrow_forward
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