ANSWERS AND EXPLANATIONS TO SECTION I
- B We need to use basic differentiation to solve this problem.
Step 1: f′(x) =
Step 2: Now all we have to do is plug in 8 for x and simplify.
- C Step 1: To solve this problem, you need to remember how to evaluate limits. Always do limit
problems on the first pass. Whenever we have a limit of a polynomial fraction where x→ ∞,
divide the numerator and the denominator, separately, by the highest power of x in the fraction.
Step 2: Simplify .
Step 3: Now take the limit. Remember that the = 0, if n > 0, where k is a constant.
Thus, we get
