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.
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 . (Assume that f has a power series expansion. Do not show
that R n ( x ) → 0 . f ( x ) = 2 /x , a = − 4
(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) = e^(2x) . Use Taylor’s Inequality to estimate the
accuracy of the approximation e^(2x) ≈ T2(x) when 0.7 ≤
x ≤ 1.3
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 hyperbolic sine and hyperbolic cosine.
b) same as a but cosh(x) instead