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x + 4x +5 Q3) If we want to decompose into partial fractions , we should look for an expression in the form: (x2– 1) (x² +2x+5)

x + 4x +5 Q3) If we want to decompose into partial fractions , we should look for an expression in the form: (x2– 1) (x² +2x+5)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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dx dx Q2) Consider the three integrals I. I. II. 1+X One of the following statements is true : a) They are all convergent b) I is convergent but II and III are divergent c) II and III are convergent and I is divergent d) They are all divergent x² + 4x +5 Q3) If we want to decompose into partial fractions, we should look for an expression in the form, : (x²– 1)²(x² +2x+5) Ex+F Ax +B a) x2-1 Cx+D x² +2x+5 B Ex+F b) X-1 (x +1)2 x²+2x +5 x-1)2 X+1 B Cx+D c) X-1 x2+2x+5 X+1 B D E d) X-1 (x-1)2 x+1)2 x² +2x+5 x+1 (In n Q4) The sequence a, a) converges to In2 b) converges to e
Transcribed Image Text:dx dx Q2) Consider the three integrals I. I. II. 1+X One of the following statements is true : a) They are all convergent b) I is convergent but II and III are divergent c) II and III are convergent and I is divergent d) They are all divergent x² + 4x +5 Q3) If we want to decompose into partial fractions, we should look for an expression in the form, : (x²– 1)²(x² +2x+5) Ex+F Ax +B a) x2-1 Cx+D x² +2x+5 B Ex+F b) X-1 (x +1)2 x²+2x +5 x-1)2 X+1 B Cx+D c) X-1 x2+2x+5 X+1 B D E d) X-1 (x-1)2 x+1)2 x² +2x+5 x+1 (In n Q4) The sequence a, a) converges to In2 b) converges to e
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