- #1
asd1249jf
Homework Statement
[tex]f(x) = x^2 - 4x + a[/tex]
[tex]g(x) = \lim_{n\rightarrow\infty} \frac {2|x-b|^n + 1}{|x-b|^n + 1}[/tex]
let [tex]h(x) = f(x)g(x)[/tex]
Find the sum of a+b that makes h(x) continuous for all x.
Homework Equations
Power Series? Derivation to test continuity?
The Attempt at a Solution
Well I know a function is continuous if
1)f(c) exists
2)Limit as x goes to c of f(x) exists
3)#1 is equal to #2
But I don't know where to go from here. Please help.