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i need to use the integral test to find whether or not a series is convergent or divergent
∫(1/x²) dx
for this i only need to find wether or not they are convergent or divergent
they are both series from n=1 to n=∞
∑ ( (n+1) / (2n+3) )
∑ ( (sin²n) / (n²) )
any help? steps please i am having trouble with this stuff thanks
For the first, just use the comparison test. For the 2nd, use the comparison and then the integral test.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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