(2) If \( f(x)=\frac{1}{x+1} \), then \( f(1)=\ldots \ldots \ldots \)
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To find \( f(1) \), simply substitute \( x \) with 1 in the function \( f(x) = \frac{1}{x+1} \). So, \( f(1) = \frac{1}{1+1} = \frac{1}{2} \). Voilà! You’ve calculated the function at that point! Now, this function, \( f(x) = \frac{1}{x+1} \), reflects a rational function that is crucial in calculus, particularly when discussing limits and asymptotes. As \( x \) approaches -1, the function tends to infinity, indicating a vertical asymptote at that point! It's like a party where everyone’s showing up, except that one guest who just can't arrive!