Let f(x) costtx. Use Eq. (4.9) and the values of /(x) at x = 0.25, 0.5, and 0.75 to approximate /"(0.5). Compare this result to the exact value and to the approximation found in Exercise 15 of Section 3.5. Explain why this method is particularly accurate for this problem and find a bound for the error.

L27 - 6 Indeterminate Products (0 ·∞ ) ex. Evaluate: ▯ ▯ ▯ ▯ m limi 1 · x = l 1· x = x→0 x x→0 x Ifx→amf(x)=0ndl x→ag(x)= ±∞,h owoﬁd limf(x)g(x) x→a Rewrite as ex. Find x→0+x ln(x)