Physics
posted by Anonymous
If ∑ n=0 to inf of 3x^n/n! is a Taylor series that converges to f(x) for all real x, what is the value of f ''(0)?
Respond to this Question
Similar Questions

calculus need help desperately!
The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at x=5 is given by f^(n) (5)= (1)^n(n!)/((2^n)(n+2)), and f(5)=1/2. Write third degree Taylor … 
Calculus
Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? 
Calculus  Taylor #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 Rn(x)>0.) f(x) = x3, a = 1 and what i've done so far: f (x) = x^3 f ' (x) = 3x^2 f '' (x) = 6x^1 … 
Calculus
a) Find the Taylor series associated to f(x) = x^2 at a = 1. Be sure to show the general term of the series. b) Find the radius of convergence of the series. c)Use Lagrange's Remainder Theorem to prove that for x in the interval of … 
Calculus
Suppose that f(x), f'(x), and f''(x) are continuous for all real numbers x, and the f has the following properties. I. f is negative on (inf, 6) and positive on (6,inf). II. f is increasing on (inf, 8) and positive on 8, inf). III. … 
Urgent help Maths Ms sue
Use binomial series to find the Taylor series about 0 for the function f(x)=(1+x)^3/5 giving all terms up to the one in x^4. Then use this series and Taylor series for sin x to find the quartic Taylor polynomial about 0 for the function … 
calculus
Consider the series ∑ ∞ n=1 (13/10^n) Determine whether the series converges, and if it converges, determine its value. Converges (y/n): 
Calculus
How do I figure out if the series from 3 to inf of ((1/2)^(n+1))((2/3)^n) converges or diverges? 
Calculus
Use the ratio test to find whether the series diverges or converges. 1/5^n (1 to infinity) I think the limit converges to 1/5, so the series converges. 
Calculus
Determine whether the series from 0 to infinity of cos(nπ)/(n + 3) converges conditionally or absolutely. A. The series diverges. B. The series converges conditionally but not absolutely. C. The series converges absolutely but not …