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What properties of a function can be discovered from its Maclaurin series?
Yes. If the Maclaurin expansion of a function locally converges to the function, then you know the function is smooth. In addition, if the residual of the Maclaurin expansion converges to 0, the function is analytic.
What is the sequence of 3n?
The sequence of (3n) represents a series of numbers generated by multiplying the integer (n) by 3. Specifically, for (n = 0, 1, 2, 3, \ldots), the sequence is (0, 3, 6, 9, 12, \ldots). This is an arithmetic sequence where each term increases by 3, starting from 0. The general term can be expressed as (3n) for (n = 0, 1, 2, \ldots).
Why are they called fibonaci numbers?
The series 0, 1, 1, 2, 3, 5, 8, 13... is called the Fibonacci series because it was his book that introduced the series to Western mathematicians. Unlike modern interpretations of the sequence, The Liber Abaci started the sequence at 1.
What is the sequence 11235812?
The Fibonacci sequence. The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The next number is found by adding up the two numbers before it
What numbers come next in this series 0 2 1 3 2 4 3?
The next four number in the sequence are... 4,5,5 & 6
