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Why is it that if a equals 0 the Taylor's series becomes the maclaurin's series?
Simply because the Maclaurin series is defined to be a Taylor series where a = 0.
Can properties of a function be discovered from its Maclaurin series Give examples.?
Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
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 a MacLaurins series?
A maclaurin series is an expansion of a function, into a summation of different powers of the variable, for example x is the variable in ex. The maclaurin series would give the exact answer to the function if the series was infinite but it is just an approximation. Examples can be found on the site linked below.
When was Normand MacLaurin born?
Normand MacLaurin was born in 1835.
When did Normand MacLaurin die?
Normand MacLaurin died in 1914.
When was Brian MacLaurin born?
Brian MacLaurin was born in 1949.
When was Neil MacLaurin born?
Neil MacLaurin was born in 1966.
How is pi 3.14 found?
The numerical value of pi is often found using a Taylor or Maclaurin series (Taylor series centered at 0).
What has the author John Maclaurin Dreghorn written?
John Maclaurin Dreghorn has written: 'The works of the late John Maclaurin, esq. of Dreghorn'
When did Colin Maclaurin die?
Colin Maclaurin died on 1746-06-14.
When did James Scott Maclaurin die?
James Scott Maclaurin died in 1939.
