Alternating Series, Absolute and Conditional Convergence
The above theorem guarantees that the terms of an abolutely convergent series can be
summed in any order without affecting the result.
Summary of the Tests
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THEOREM 5— L'Hépital's Rule Suppose that [(a) = g(a) = 0, thatfandgare
differentiable on an open interval I containing a, and that g'(x) at 0 on I if x at 0.
MATH 104 TUTORIAL 3
1. Find the derivative of y with respect to
x, or t.
4. Find the value.
5. Find the derivative of y.
6. Evaluate the integrals.
2. Evaluate the integrals
3. Use logarithmic differentiation to find
MATH 104 TUTORIAL 1
1.Find the volume of the given pyramid,
which has a square base of area 9 and
4. Find the volume of the solid generated
by revolving the region bounded by the
line and curve about the x-axis.
5. Find the volumes of