- #1
stunner5000pt
- 1,461
- 2
are there certain formulae to find out where a certain infinite series converges, if it does converge
for example
[tex] \sum_{n=1}^\infty (\frac{3}{5})^n [/tex] certainly converges because it is between the infinite series
[tex] \sum (1+ \frac{1}{n})^n [/tex] and the series [tex] \sum (\frac{1}{5})^n [/tex] which both converge Since both of them converge then sum(3/5)^n must converge.
But my question is WHERE does (3/5)^n converge??
for example
[tex] \sum_{n=1}^\infty (\frac{3}{5})^n [/tex] certainly converges because it is between the infinite series
[tex] \sum (1+ \frac{1}{n})^n [/tex] and the series [tex] \sum (\frac{1}{5})^n [/tex] which both converge Since both of them converge then sum(3/5)^n must converge.
But my question is WHERE does (3/5)^n converge??
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