Will the answer change?

Calculus Level 5

limncos(πn2+n2)\large \lim_{n \to \infty} \left | \cos\left( \dfrac{\pi \sqrt{n^2+n}}{2} \right) \right |

What is the value of the limit above for integers nn? Give your answer up to 3 decimal places.

Submit 1234512345 as the answer if the limit does not exist.

Title of the problem given in reference to the problem : limits
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