A sequence is an infinite ordered list of numbers that is often defined by a function For example the sequence 2 4 6 8 is

Question

A sequence is an infinite ordered list of numbers that is often defined by a function For example the sequence 2 4 6 8 is specified by the function f n 2n where n 1 2 3 The limit of such a sequence is lim f n provided the limit exists All the nx limit laws for limits at infinity may be applied to limits of sequences Find the limit of the following sequence or state that the limit does not exist 1 4 1 16 5 12 16 17 2 19 4 7 which is defined by f n n 15 for n 1 2 3 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The limit of the sequence is B The limit does not exist and is neither o nor 00

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