Subjects calculus

Limit Infinity 4A82Fb

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Limit Infinity 4A82Fb


1. The problem is to analyze the behavior of a function as $x$ approaches $+\infty$ (positive infinity). 2. When $x \to +\infty$, we look at the limit $\lim_{x \to +\infty} f(x)$ to understand how the function behaves for very large values of $x$. 3. Common behaviors include the function approaching a finite limit, increasing or decreasing without bound, or oscillating. 4. Without a specific function given, we cannot compute an exact limit, but the general approach is to substitute large values of $x$ or use limit laws. 5. For example, if $f(x) = \frac{1}{x}$, then $\lim_{x \to +\infty} \frac{1}{x} = 0$. 6. If $f(x) = x^2$, then $\lim_{x \to +\infty} x^2 = +\infty$. 7. Please provide a specific function for a detailed limit evaluation.