Solved

Using the Known Geometric Series Representation = $\le$ 2
B) F(x) = Ln 3

Question 86

Multiple Choice

Using the known geometric series representation $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ = $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ?

A) f(x) = ln 3 + $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ , for -0 < x $\le$ 2
B) f(x) = ln 3 + $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ , for -2 < x $\le$ 4
C) f(x) = ln 2 + $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ , for -1 < x $\le$ 3
D) f(x) = ln 2 + $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ $Using the known geometric series representation = , valid for -1 < x < 1, find a power series representation for f(x) = ln(2 + x) in powers of x - 1. On what interval does the series converge to f(x) ? A) f(x) = ln 3 + , for -0 < x \le 2 B) f(x) = ln 3 + , for -2 < x \le 4 C) f(x) = ln 2 + , for -1 < x \le 3 D) f(x) = ln 2 + , for -1 < x < 3 E) none of the above$ , for -1 < x < 3
E) none of the above