sn7_1 - Math 1432 Notes session 7 More examples from 10.4...

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Math 1432 Notes – session 7 More examples from 10.4 State whether the sequence converges as n ; if it does, find the limit. 1. 7 n e - 2. 3. 4.
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5. 6. 7.
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8. 9. 9 sin n n π 10. 9 cos( ) n n
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You try! (hw11 #3) Give the limit of the sequence ( 29 ( 29 { } 2 1 ln 2 2ln 3 n n n = + - + . a. DNE b. 1 c. ½ d. 0 e. None of these. DAILY EMCF 7 1. If the degree in the denominator of a rational function is greater than the degree in the numerator, then the limit as the variable approaches infinity will be a. b. 1 c. 0 d. Quotient of the coefficients e. None of these
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10.5 – The Indeterminate Form (0/0) L’Hopital’s Rule : Suppose that 0 ) ( x f and 0 ) ( x g as - + x c x c x c x , , , or -∞ x . If L x g x f ) ( ' ) ( ' then L x g x f ) ( ) ( (Note, it is possible that - = or L ) Examples: 1. 2. 0 sin lim x x x - 3.
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2 0 1 lim x x e x x - - - 5. 2
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sn7_1 - Math 1432 Notes session 7 More examples from 10.4...

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