Question

In: Math

f(x)= x^3+9x^2-6x+1997 a)find the taylor series for f(x) centered at x=1 b) using desmos, graph you...

f(x)= x^3+9x^2-6x+1997
a)find the taylor series for f(x) centered at x=1
b) using desmos, graph you taylor series for f(x) centered at x=1

Solutions

Expert Solution


AIn the attachment graph plotted in Desmos we can clearly see that as we add more number of term in taylor series the graph we follow the original function. The dotted graph is terms of taylor series.


Related Solutions

Find the Taylor series for f(x) centered at the given value of a=1 fx=6x^-2
Find the Taylor series for f(x) centered at the given value of a=1 fx=6x^-2
1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then determine interval of...
1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then determine interval of convergence. 2. Find the coeffiecient on x^4 in the Maclaurin Series representation of the function g(x) = 1/ (1-2x)^2
Find the Taylor series for f ( x ) centered at the given value of a...
Find the Taylor series for f ( x ) centered at the given value of a . (Assume that f has a power series expansion. Do not show that R n ( x ) → 0 . f ( x ) = 2 /x , a = − 4
find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing
find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing
(a) Determine the Taylor Series centered at a = 1 for the function f(x) = ln...
(a) Determine the Taylor Series centered at a = 1 for the function f(x) = ln x. (b) Determine the interval of convergence for this Taylor Series. (c) Determine the number n of terms required to estimate the value of ln(2) to within Epsilon = 0.0001. Can you please help me solve it step by step.
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
Find the Taylor series for f(x)= ln(2+x) centered at x=0 and compute its interval of convergence....
Find the Taylor series for f(x)= ln(2+x) centered at x=0 and compute its interval of convergence. Show all work and use proper notation.
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
For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right...
For the function a) f(x)=x^3-9x^2+23x-15 b)f(x)=(x+3)^2(2x+1)(x-1) c)f(x)=-(x^2-6x+9)(x^2-x-6) Find: 1) the zeros 2) the y-intercept 3) left-right end behavior 4) the sketch of the graph
a) Find the Taylor series for sinh(x) (centered at x=0), for e^x (centered at x=0) and...
a) Find the Taylor series for sinh(x) (centered at x=0), for e^x (centered at x=0) and hyperbolic sine and hyperbolic cosine. b) same as a but cosh(x) instead
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT