5 - convergent(1 i 9 1 √ 9-x dx(2 i 8 4 x √ x-4 dx(3...

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Take-Home Quiz 5 Course: Math141 Name: NO Work, No points. Square or Circle your fnal Answer. 1. Evaluate the limit. (1) lim x 2 4 - x 2 sin ( πx ) (2) lim x 3 e x 2 - e 9 x 2 - 3 x (3) lim x →∞ x 2 - 3 x + (ln x ) 10 5 x 2 + 10 + (ln x ) 20 (4) lim x π/ 2 p x - π 2 P sec x 1
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(5) lim x 0 p 1 x - csc x P (6) lim x →∞ p x x + 1 P 2 x (7) lim x 1 - [cos (2 πx )] tan ( π 2 x ) 2
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2. Determine whether each integral is convergent or divergent. Evaluate those that are
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Unformatted text preview: convergent. (1) i 9 1 √ 9-x dx (2) i 8 4 x √ x-4 dx (3) i-∞ x e x 2 dx 3 (4) i 1 ln x x 2 dx (5) i ∞ 1 ln x x 2 dx (6) i ∞-∞ arctan x 1 + x 2 dx (7) i π/ 2 sec x dx 4...
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