Find the terms in the Maclaurin series for the function f(x) = e^{-x} ,as far as the term in x^3. Find the Maclaurin series for the function f(x) = \arctan (3x^2). Find the Maclaurin series of the function f(x) = cos(...
Find the Maclaurin series for f(x). f(x)=ln(1−8x). Maclaurin Series: We use the well-known Maclaurin series for the natural logarithm function in the format ln(1−x). We replace the argument of this log function with a new argument as in the function f and find the...
利用B2m+2(x) 在x∈[0,1] 的余弦展开式 B2m+2(x)=(−1)m2(2m+2)!∑k=1∞cos2kπx(2kπ)2m+2 在m≥1 时,上式逐项求导后可得 B2m+1(x) 在x∈[0,1] 的正弦展开式 B2m+1(x)=12m+2B2m+2′(x) =(−1)m+12(2m+1)!∑k=1∞sin2kπx(2kπ)2m+1 由此可得下面的估计式:...
Maclaurin series and inverval of convergence for ##f(x) = \log (\cos x)## Homework EquationsThe Attempt at a Solution I used the fact that ##\log (\cos x) = \log (1+ (\cos x - 1))##, and the standard expansions for ##\cos x## and ##\log (x+1)## to get that.....
Answer to: A) Calculate the Maclaurin series of f(x)=4x^3 \sin(x^4). B) Using this series for f(x), verify that \int 4x^{3} \sin (x^4) dx = -...
12已知1 tan y x证明2 maclaurins series section 2 answers林系列答案.pdf,Section 2 1. [2008/HCI Promos/12] 2 1 2 d y dy Given that y xtan x, prove that (1+x ) 2 +2x 2y 2 0. dx dx By repeated differentiation, show that the first 2 non-zero terms of the Macl
解cos^3x+sin^3x=(cosx+sinx)(sinx+sin^2x) =(cos x + sin x)(1- cos r sin x) =(cosx+sinx)(1-1/2sin2x) =cosx+sinx-1/2sin2xcosx-1/2sin2xsinx =cosx+sinx-1/4(sin3x+sinx)-1/4(cosx-cos3x) =3/4cosx+3/4sinx-1/4sin3x+1/4cos3x . s sinx=x-(x^3)/(3!)+(x^5...
Answer to: Find Maclaurin series for the function f(x) = (8x)/((1 - 3x)^2). By signing up, you'll get thousands of step-by-step solutions to your...
Find the first three terms of the Maclaurin series for the function f(x)=2x1−3x. Maclaurin Series: For a general functionf(x), the Taylor series expansion about a=0 and x=0 is called a Maclaurin series. The Maclaurin series expansion is f(x)=∑n=0∞xnf(n)...
Here we will use some basic tools such as Geometric Series and Calculus in order to determine the Maclaurin series of the given function and its interval of convergence. First of all, we will determine the power series for the derivative of the function then we will go ...