Nick Y.
asked • 04/05/22Find the Taylor polynomials of degree n approximating sin(3x) for x near 0:
Find the Taylor polynomials of degree approximating for near 0:
For n=1 P1(x)=
For n=3 P3(x)=
For n=5 P5(x)=
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2 Answers By Expert Tutors
Yefim S. answered • 04/09/22
Tutor
5
(20)
Math Tutor with Experience
We know series: sinx = x - x3/3! + x5/5! - x7/7! + x9/9! - ...
We replace x by 3x everywhere.
So, n = 1, P1(x) = 3x;
n = 3, P3(x) = 3x - 9x3/2 + 81/40x5;
n = 5, P5(x) = 3x - 9x3/2 + 81/40x5 - 243/560x7 + 243/4480x9
Yefim S. answered • 04/09/22
Tutor
5
(20)
Math Tutor with Experience
We know series: sinx = x - x3/3! + x5/5! - x7/7! + x9/9! - ...
We replace x by 3x everywhere.
So, n = 1, P1(x) = 3x;
n = 3, P3(x) = 3x - 9x3/2 + 81/40x5;
n = 5, P5(x) = 3x - 9x3/2 + 81/40x5 - 243/560x7 + 243/4480x9
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Mark M.
You post three problems all of which deal with Taylor polynomials. Do you have a specific help request of do you just want someone to do your work for you?04/08/22