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sum from k=1 to infinity of (20)^k

解答

k = 1 \sum \infty (20)^{k}

解答

发散

求解步骤

k = 1 \sum \infty 2 0^{k}

n = k \sum \infty (a_{n}) = n = 0 \sum \infty (a_{n}) - a_{0} - a_{1} - \dots a_{k - 1}

= k = 0 \sum \infty 2 0^{k} - 2 0^{0}

k = 0 \sum \infty 2 0^{k} =

发散

如果表达式有部分发散，则整个表达式发散

= 发散

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