Practice problem
Which of the following infinite series helps prove that 0.99999...=10.99999... = 10.99999...=1?
∑i=1∞910i\sum_{i=1}^\infty \frac{9}{10^i}∑i=1∞10i9
∑i=1∞(910)i\sum_{i=1}^\infty (\frac{9}{10})^i∑i=1∞(109)i
∑i=1∞(1−10−i)\sum_{i=1}^\infty (1 - 10^{-i})∑i=1∞(1−10−i)
∑i=1∞(99100)i\sum_{i=1}^\infty (\frac{99}{100})^i∑i=1∞(10099)i
Type a concept, like “slope” or “photosynthesis”.