What happens when a function's output isn't calculable directly – e.g., at infinity – but we still need to understand its behavior? That's where limits come in. See more

Find the value of

\[ \lim_{x \to \infty} \frac{2x + \sin x}{x + \cos x}. \]

Evaluate \(\displaystyle \lim_{x \to -\infty} \frac{\sqrt{36 x^2 + 26}}{13 - \frac{x}{12}}\).

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