Homework SourseLet fx the sum from n2 to infinity of xn n1 a Find the dom
Let:
f(x) = the sum from n=2 to infinity of [x^n / (n-1)]
a) Find the domain and obtain an explicit formula for the function f(x)
b) Evaluate f(1/2)
please show work clearly, thank you
f(x) = the sum from n=2 to infinity of [x^n / (n-1)]
a) Find the domain and obtain an explicit formula for the function f(x)
b) Evaluate f(1/2)
please show work clearly, thank you
Solution
f(x) = sum(n=1 ,inf)x*(x^n)/n = x*(exp(x) - 1) a) domain is R b) f(1/2) = 1/2*(exp(1/2)-1) = .324![Let: f(x) = the sum from n=2 to infinity of [x^n / (n-1)] a) Find the domain and obtain an explicit formula for the function f(x) b) Evaluate f(1/2) please show](/WebImages/41/let-fx-the-sum-from-n2-to-infinity-of-xn-n1-a-find-the-dom-1127143-1761601291-0.webp "Let: f(x) = the sum from n=2 to infinity of [x^n / (n-1)] a) Find the domain and obtain an explicit formula for the function f(x) b) Evaluate f(1/2) please show")
