QUESTION 2 a) Find the Maclaurin series for Write your answer in notatation. Also remember to...

Transcribed Image Text:

QUESTION 2 a) Find the Maclaurin series for Write your answer in notatation. Also remember to show that f(t)=re^2 lim |R(no)f(x) = 0 1118 c) Consider the function -2x b) Expand g(x) = ln(1 + 2x) in powers of r- 1 (i.e. of order n). Then write it as the Taylor series at a = 1 when you have shown that lim |R(n,1)9(x) = 0 718 f(x) = cos 4x (i) Compute the Taylor-polynomial of order n at a = 12 (ii) Then write down th Taylor series by showing that |R(n.) = 0. lim 818 QUESTION 2 a) Find the Maclaurin series for Write your answer in notatation. Also remember to show that f(t)=re^2 lim |R(no)f(x) = 0 1118 c) Consider the function -2x b) Expand g(x) = ln(1 + 2x) in powers of r- 1 (i.e. of order n). Then write it as the Taylor series at a = 1 when you have shown that lim |R(n,1)9(x) = 0 718 f(x) = cos 4x (i) Compute the Taylor-polynomial of order n at a = 12 (ii) Then write down th Taylor series by showing that |R(n.) = 0. lim 818

Answer rating: 100% (QA)

A Maclaurin series is given by f x In our case f xPx fx xe fx So what we need to do to get the desir... View the full answer