A power series representation for the function the interval of convergence is x > -14 .
Given :
a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = 1273 Determine the interval of convergence.
f ( x ) = 3 / 17 + x
Interval of convergence :
The interval of convergence can be calculated once you know the radius of convergence. First you solve the inequality |x − a| < R for x and then you check each endpoint individually.
3 / 17 + x < 1
3 < 1 * ( 17 + x )
3 < 17 + x
-14 < x
x > -14
Learn more about the interval here:
https://brainly.com/question/13242669
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