Thank you! Ok, now I have:
|c_{n+1}-c_{n}| = \frac{|c_{n}-c_{n-1}|}{2+c_{n-1}}
And since all terms are positive, 2+c_{n-1} will be positive, and each absolute difference will be a fraction of the previous absolute difference. Therefore they are decreasing and they will approach 0 as n...
Convergence of oscillating sequence
Hi, I have to prove that an oscillating sequence converges, I am having some difficulty with the proof.
The sequence is c_{n+1} = \frac{1}{1+c_{n}} , c_{1} = 1
So, I've calculated the first few terms and have seen that the sequence oscillates. I know...
Hi, I have to integrate this:
\int e^{2x}sinx
I've tried by parts, but e^{2x} never goes away and sinx just keeps going back and forth to cosx. Is there some kind of substitution I should use? The original question was the differential:
(-e^xsinx+y)dx+dy = 0
and I'm trying to...