Level:
Project ID:
1003108806
Accepted:
1
Clonable:
0
Easy:
0
We are given the equation
\[ \sum\limits_{n=1}^{\infty}(x+2)^{2n} =\frac13 \]
with the unknown \( x \) being a real number. What is the set of all its solutions?
\( \left\{ -\frac32;-\frac52 \right\} \)
\( \left\{ -\frac32\right\} \)
\( \left\{ -\frac52 \right\} \)
\( \left\{\ \right\} \)
\( \left\{ \frac32;\frac52 \right\} \)