The series \(\displaystyle\sum_{n=0}^\infty (2x)^n\) converges if

• A. -1 ≤ x ≤ 1
• B. -2 ≤ x ≤ 2
• C. \(-\dfrac{1}{2} < x < \dfrac{1}{2}\)
• D. \(-\dfrac{1}{2} \le x \le \dfrac{1}{2}\)