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The solutions manual for exam 1 of math 172, a college-level calculus course. It includes problems on limits, velocity, and logarithmic functions. Students are required to show their work to receive credit.
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Name: ____________________________ Math 172 (April 13, 2009)
To receive credit you must show your work.
sin x lim^ x x
→
lim x 2
x x →∞ x
3 1 lim 1 2 x 1
x →− x
s t ( ) = t^2 + 3 t
a. (10 pts) Find the average velocity of the particle from t = 2 to t = 4.
b. (10 pts) Find the instantaneous velocity of the particle at t = 2 by computing the appropriate limit.
2 2 lim ln 3 x 1
x →∞ x
a. (10 pts) Does (^) x lim → 0 − f ( ) x exist? If so, what is its value? If not, why not?
b. (10 pts) Does lim x → 0 f ( ) x exist? If so, what is its value? If not, why not?
