Randolph College
Department of Mathematics and Computer Science

 

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.  \(\lim_{h \rightarrow 0} \frac{ (1+h)^2 - h^2}{h}\)