(10 points) Let $f(x) = \begin{cases} x - 4 & x < 3\\ 3 & 3 \le x \le 5\\ x^2 - 7 & x > 5 \end{cases}$ \\ Find the following limits.\\ (a) $\lim_{x \to 3} f(x)$\\ (b) $\lim_{x \to 5^-} f(x)$\\ (c) $\lim_{x \to 5^+} f(x)$\\ (d) $\lim_{x \to 5} f(x)$
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Step 1: To find the limit as x approaches 43 of f(x), we substitute 43 into the function f(x) = 35x + 75. Show more…
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