Description

1. Compute the following limits.
(a)

(b)

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2. Compute the derivatives of the following functions.

7 −akx3, ({ak} constant) (b) f(x) = P ke
n=1
7
f0(x) = X ke−akx3(−3akx2) n=1
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3.
(a) By inspection we can see that 2(c) corresponds to ∂S∂ [d+(·)], 2(d) corresponds to ∂σ∂ [d+(·)], and 2(e) corresponds to ∂r∂ [d+(·)]. (b)

4. Compute the following indefinite integrals.
(a) R x2log(x)dx
(b) R x2ex dx
(c) R[log(x)]2 dx = R log(x)log(x)dx

5. Evaluate the following definite integrals.
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