Mathematics

Mathematics

Problem

For which real values of kk does the series ∑n=0∞(k−1)n\displaystyle \sum_{n=0}^{\infty} (k-1)^{n} converge? a) k<0 or k>2k<0\text{ or }k>2 b) −1<k<1-1<k<1 c) 0<k<20<k<2 d) 0≤k≤20\le k\le 2

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