Limit to infinity with cos and sin – math.stackexchange.com

Limit to infinity with cos and sin – math.stackexchange.com

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I'm running into problems with this limit: $$\lim_{x\to -\infty} \frac{6x^2+5\cos{\pi x}}{\sqrt{x^4+\sin{5\pi x}}}$$ I've tried using l'Hospitals rule, however we will alway keep the $\cos(\pi x)$ ...

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