1. Find the first four power series terms of f(x) e sinx and compare values of f(.2) with the value from the 2n+1 ex: Σ(-1)" and sinx2(-)" n! series. {3 decimal places) Multiple the series...
Please answer question 34 only
33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove that if the series Σ-a, is absolutely convergent, then the series s (n + 1
33. Find the sum of the series -correct to four decimal places. n" & 2n is comvergent. 34. (a) Show that the series (b) Deduce that lim0 (2n)! 35. Prove...
please answer question 34 only
(-1) 33. Find the sum of the series correct to four decimal places. 34. (a) Show that the series & 2m) is convergent. (b) Deduce that lim0 (2n)! 35. Prove that if the series Σ-a, is absolutely convergent, then the series n+ 1
(-1) 33. Find the sum of the series correct to four decimal places. 34. (a) Show that the series & 2m) is convergent. (b) Deduce that lim0 (2n)! 35. Prove that if...
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
3 is represented as a power series: (1 point) The function f(x) 1+36x2 Σ f(x) - n-0 Find the first few coefficients in the power series. CO CI C2 C3 CA Find the radius of convergence R of the series R =
Find a Maclaurin series for f(x). (Use (2n)! —for 1:3:5... (2n – 3).) 2"n!(2n-1) X Rx) = (* V1 +48 dt . -*** * 3 n = 2 Need Help? Read It Talk to a Tutor
If possible, find the first three nonzero terms in the power series expansion for the product f(x)g(x). f(x) = x = Σ Π = 0 -X = Σ g(x) = e (-1). -X" n! η = 0
ex – 2 Use the following Taylor series to find the first four nonzero terms of the Taylor series for the function centered at 0. ta eX = 1 + x + — + ... + = 2! k=0 The first nonzero term is .
X 8.4.14 Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 4y' - 6 e 2xy = 0; y(0)=5 y(x)=+ (Type an expression that includes all terms up to order 3.)
Find the first four nonzero terms in a power series expansion of the solution to the given initial value problem. 5y'-6 e*y=0; y(0) = 3 y(x) = + (Type an expression that includes all terms up to order 3.)
find a taylor series for f(x) = e^2x centered at a=3. give the first four nonzero terms and the general term for each series