Evaluate the limit

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 33E: Let where is a field and let . Prove that if is irreducible over , then is irreducible over .
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Evaluate the limit

2. Evaluate the limit.
1
lim
3
+
[Hint: 1) Recognize the sum as a Riemann sum for a function defined on [0, 1]; 2) convert the limit
to a definite integral by the definition of integral; 3) evaluate the integral using fundamental
theorem of calculus.]
Transcribed Image Text:2. Evaluate the limit. 1 lim 3 + [Hint: 1) Recognize the sum as a Riemann sum for a function defined on [0, 1]; 2) convert the limit to a definite integral by the definition of integral; 3) evaluate the integral using fundamental theorem of calculus.]
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