f(x) = xln(x+1) Find the Taylor polynomal to n=4 at the point c =1

f(x) = xln(x+1)

Find the Taylor polynomal to n=4 at the point c =1

Expert Solution

milcah answered 2 years ago

1. If f(x) = ln(x/4) -(a) Compute Taylor series for f at c = 4 -(b)...

1. If f(x) = ln(x/4) -(a) Compute Taylor series for f at c = 4 -(b) Use Taylor series truncated after n-th term to compute f(8/3) for n = 1,.....5 -(c) Compare the values from above with the values of f(8/3) and plot the errors as a function of n -(d) Show that Taylor series for f(x) = ln(x/4) at c = 4 represents the function f for x element [4,5]

Find the Taylor polynomial for 1/x^2 centered at c=4.

find the n-th order Taylor polynomial and the remainder for f(x)=ln(1+x) at 0

The function f(x)= x^−5 has a Taylor series at a=1 . Find the first 4 nonzero...

The function f(x)= x^−5 has a Taylor series at a=1 . Find the first 4 nonzero terms in the series, that is write down the Taylor polynomial with 4 nonzero terms.

f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=f^-1(c) 1. f(x)=5x+9x^21. c=-14...

f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=f^-1(c) 1. f(x)=5x+9x^21. c=-14 a=? (f^-1)'(c)= ?

Find the Taylor series for f (x) = 2/(1+3x) at x = a where a =...

Find the Taylor series for f (x) = 2/(1+3x) at x = a where a = 0

x(n)=(1/4)|n|, find x(ω)

find the taylor polynomial T5 of f(x) = e^x sinx with the center c=0 hint: e^x...

find the taylor polynomial T5 of f(x) = e^x sinx with the center c=0 hint: e^x = 1 + x + x^2/2! + x^3/3! + ..., sinx=x - x^3/3! + x^5/5! -...

Find the Taylor polynomial of degree 2 centered at a = 1 for the function f(x)...

Find the Taylor polynomial of degree 2 centered at a = 1 for the function f(x) = e^(2x) . Use Taylor’s Inequality to estimate the accuracy of the approximation e^(2x) ≈ T2(x) when 0.7 ≤ x ≤ 1.3

Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x)...

Let f(x) = 1 + x − x2 +ex-1. (a) Find the second Taylor polynomial T2(x) for f(x) based at b = 1. b) Find (and justify) an error bound for |f(x) − T2(x)| on the interval [0.9, 1.1]. The f(x) - T2(x) is absolute value. Please answer both questions cause it will be hard to post them separately.

Question