Homework # 9 - Math 149
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. Which of the following limits represents the slope of the tangent line to the curve \(y = f(x) = x^2\) at \(x = 2\)?
a. \(\lim_{h \rightarrow 0} \frac{ 2+h^2 - 2^2}{h}\)
b. \(\lim_{h \rightarrow 0} \frac{ (2+h)^2 - 2^2}{h}\)
c. \(\lim_{h \rightarrow 0} \frac{ 1+h^2 - 2^2}{h}\)
d. \(\lim_{h \rightarrow 0} \frac{ (1+h)^2 - 1^2}{h}\)
e. \(\lim_{h \rightarrow 0} \frac{ (1+h)^2 - h^2}{h}\)