The infinite series $x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\ldots+\frac{(-1)^{n-1} x^{n}}{n}+\ldots$ does not converge for $x=-1$ .What behavior does it exhibit? It does converge for $x=1$ .To what number does it appear to converge?
A)At -1, the series diverges to $\infty$ , At 1, it appears to converge to ln(3).
B)At -1 the series diverges because the terms alternate back and forth between positive and negative.At 1, it appears to converge to ln(2).
C)At -1, the series diverges because some of the terms are undefined.At 1, it appears to converge to ln(3).
D)At -1, the series diverges to $-\infty$ .At 1, it appears to converge to ln(2).

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The Answer of The infinite series $x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\ldots+\frac{(-1)^{n-1} x^{n}}{n}+\ldots$ does not converge for $x=-1$ .What behavior does it exhibit? It does converge for $x=1$ .To what number does it appear to converge?
A)At -1, the series diverges to $\infty$ , At 1, it appears to converge to ln(3).
B)At -1 the series diverges because the terms alternate back and forth between positive and negative.At 1, it appears to converge to ln(2).
C)At -1, the series diverges because some of the terms are undefined.At 1, it appears to converge to ln(3).
D)At -1, the series diverges to $-\infty$ .At 1, it appears to converge to ln(2).

The Infinite Series x−x22+x33−x44+…+(−1)n−1xnn+…x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\ldots+\frac{(-1)^{n-1} x^{n}}{n}+\ldotsx−2x2​+3x3​−4x4​+…+n(−1)n−1xn​+… Does Not Converge For x=−1x=-1x=−1 What Behavior Does It Exhibit? It Does Converge For x=-1

The Infinite Series $x-\frac{x^{2}}{2}+\frac{x^{3}}{3}-\frac{x^{4}}{4}+\ldots+\frac{(-1)^{n-1} x^{n}}{n}+\ldots$ Does Not Converge For $x=-1$ What Behavior Does It Exhibit? It Does Converge For x=-1