Math001C Test 1 Review
1.
Name:________________________
Determine whether the sequence below converges or diverges, If it converges, find the
limit. Give reason for your answers.
a)
, The sequence converges to zero.
b)
, The sequence converges to zero
c)
Use the ε, N definition to prove that the sequence converges to the given number.
2.
Determine whether the series below converges or diverges, If it converges, find the sum.
Give reason for your answers.
a)
b)
c)
2
3.
Use the divergence test to determine whether the series below divergence otherwise state
the test is in conclusive.
a)
, The series diverges.
b)
4.
Let C be the parametric curve
a)
Set up and integral for the arc length of the curve defined C.
b)
Set up and integral for the surface area of revolution about the x axis for the plane curve
defined by C.
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6.
Find the area of the region inside the first curve and outside the seco
7.
Use the method of parametric equations to find the area bounded by the two curves.
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