Power Series Interval of Convergence

Question

The power series $$\displaystyle\sum_{n=0}^{\infty} d_n (x + 3)^n$$ converges at $$x = 1$$ and diverges at $$x = 3$$. Which of the following statements must be true?

I. The series converges at $$x = 0$$.

II. The series diverges at $$x = -7$$.

III. The series diverges at $$x = 4$$.

Accepted Answer

$$\displaystyle I$$ and $$III$$ only

Answer

$$\displaystyle I$$, $$II$$, and $$III$$

Answer

$$\displaystyle I$$ and $$II$$ only

Answer

$$\displaystyle I$$ only

Power Series Interval of Convergence

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