How do you use the direct Comparison test on the infinite series #sum_(n=1)^oo(1+sin(n))/(5^n)# ?
"Using a test" means deciding if the series converges or diverges. If you can compare this series to a larger one that converges, that means this series converges too.
The value of sin(x) is always between -1 and 1;
This means our sum is less than
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