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Question Number 109213 by mathmax by abdo last updated on 22/Aug/20
![find nature of Σ_(n=0) ^∞ (((−1)^([x]) )/(2+cos(n[x]))) with [..] mean floor](Q109213.png)
$$\mathrm{find}\:\mathrm{nature}\:\mathrm{of}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\left[\mathrm{x}\right]} }{\mathrm{2}+\mathrm{cos}\left(\mathrm{n}\left[\mathrm{x}\right]\right)}\:\:\mathrm{with}\:\left[..\right]\:\mathrm{mean}\:\mathrm{floor} \\ $$