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Unformatted text preview: Math 242
Suggested lab/discussion problems, Oct 18 and 20
1. By hand, ﬁnd an approximation to 71/3 . Choose an appropriate function
f (x), an appropriate ﬁrst approximation x1 , and ﬁnd x2 . 1 2. Find the length of the curve y = ln(sec x) between x = 0 and x = π/4. 2 1
3a. Evaluate nlim .
→∞ n
∞ 3b. Evaluate
1 1
dx.
x ∞ 3c. Does 1
converge or diverge?
n=1 n 3 4a. Evaluate nlim
→∞
∞ 4b. Evaluate
1 1
.
n2
1
dx.
x2 ∞ 4c. Does 1
converge or diverge?
2
n=1 n 4 ...
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This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.
 Spring '08
 wang
 Approximation

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