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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.
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
What sequence is formed by subtracting each term of a sequence from the next term?
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
