Question

Determine if the following is a power series.

A) x-x^2+x^4-x^8+x^11-...


B) x^5+x+2


C) (8/x)+(8/x^2)+(8/x^3)+(8/x^4)+...

Answer 1

C is power series

Answer 2

can you explain how can you tell if is a power serious or not? please

Answer 3

C is not a power series... the powers of \(x\) are in the denominator. Both A and B are power series, though only A is an infinite power series. The general form of a power series for constants \(a_0, a_1, a_2, \ldots \) is \(a_0 + a_1 x + a_2 x^2 + a_3 x^3 + \cdots\).

Answer 4

thanks

Answer 5

can you explain how B is a power series?