0
What is the difference between Taylor series and Maclaurin series?
Wheelet3
A Maclaurin series is centered about zero, while a Taylor series is centered about any point c.
M(x) = [f(0)/0!] + [f'(0)/1!]x +[f''(0)/2!](x^2) + [f'''(0)/3!](x^3) + . . .
for f(x).
T(x) = [f(c)/0!] + [f'(c)/1!](x-c) +[f''(c)/2!]((x-c)^2) + [f'''(c)/3!]((x-c)^3) + . . .
for f(x).
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
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).
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.
How do you find the sum of a series of numbers?
There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.
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 difference between a single trade discount and trade discount series?
What is the difference between a single trade discount and trade discount series? In: http://wiki.answers.com/Q/FAQ/2547-72 [Edit categories]
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.
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).
How do you find the sum of a series of numbers?
There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.
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.
What is the difference between the N series and C series nokia mobile phones?
what is the difference between N series and C series in nokia mobile phones
What is the difference between series and parralal circuit?
difference between series is one pathway through circuit,difference between parralal is more then one pathway through circuit.
Expalain the difference between cyclical and seasonal variations in a data series?
Expalain the difference between cyclical and seasonal variations in a data series?
What is Taylor series?
give the expansion of Taylor series
What is the difference between Lenovo t series and Lenovo s series?
The difference between the Lenovo T series and the Lenovo S series is the type of laptop. The Lenovo S series is a laptop, while the Levnovo T series is a tablet.
What is the common difference?
The difference between each number in an arithmetic series
