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This 50-minute exam for math 252 calculus ii covers topics on determining the convergence or divergence of sequences and series, finding limits, calculating arc-length, and identifying the vertex, focus, and directrix of a parabola. Students are required to show their work and indicate answers clearly.
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Math 252 Test Four Calculus II name
This tantalizing fifty minute test covers several sections of Calculus by James Stewart 4 th
ed. Clearly indicate your answers and show your work. All parts of problems are five
points each (unless otherwise stated).
a) 3 ( 1) 3
n
n
(^) + −
b)
3 n! a n n
=
a) 2 1
cos(1/ ) n
n
∞
=
b) (^) 1. 1
3 n n
∞
=
c) (^2) 1
(^1) cos 1 n n n
∞
=
2 3
n
n
∞ x
=
−
a) 0
5 4 9
n n n n
∞
=
−
b) 1
ln n^1
n n
∞
= +
c)
2 2 1
1 n (^ 1)
n n
∞
=
−
d) 1
3 n
∞
=
a) vertex
b) focus
c) directrix