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ਕਦਮ ਦਰ ਕਦਮ

1. \sum_{n=0}^{\infty} 2^{- n}

   Write the sum out.

2. 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \cdots

   The first few terms.

3. S_{3} \approx 1.7500, S_{6} \approx 1.9688, S_{11} \approx 1.9990, S_{51} \approx 2.0000

   Partial sums approach the limit.

4. = 2

   Infinite series: this converges, and the closed form is the limit of the partial sums.