Ernst_Maple_3_Spring_2008

# Ernst_Maple_3_Spring_2008 - 3.659559529(19(18 f d x 11 6 K...

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(3) (1) (2) a d n / K 1 n n n 2 K 3 n C 4 n / K 1 n n n 2 K 3 n C 4 disp d seq n , a n , n = 1 . .50 : n =' n ' n = n plot disp , style = point 10 20 30 40 50 K 0.6 K 0.4 K 0.2 0.0 0.2 0.4 0.6 0.8 1.0 limit a n , n = N 0 The Sequence converges to 0.

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(5) (4) (6) a d n / ln n n 2 n / ln n n 2 disp d seq n , a n , n = 1 . .50 : n =' n ' n = n plot disp , style = point 10 20 30 40 50 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 limit a n , n = N 0 The Sequence converges to 0.
(7) (8) (9) a d n / 1 C 2 n n n / 1 C 2 n n disp d seq n , a n , n = 1 . .50 : n =' n ' n = n plot disp , style = point 10 20 30 40 50 3 4 5 6 7 limit a n , n = N e 2 The Sequence converges to e^2.

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(12) (16) (11) (13) (15) (14) (10) (17) q5 d Sum π 4 n , n = 1 . .5 > n = 1 5 1 4 π n evalf q5 2.566073122 q10 d Sum π 4 n , n = 1 . .10 > n = 1 10 1 4 π n evalf q10 3.332937270 q20 d Sum π 4 n , n = 1 . .20 > n = 1 20 1 4 π n evalf q20 3.630601023 q40 d Sum π 4 n , n = 1 . .40 > n = 1 40 1 4 π n evalf q40

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Unformatted text preview: 3.659559529 (19) (18) f d x / 11 6 K 1 x C 1 K 1 x C 2 K 1 x C 3 x / 11 6 K 1 x C 1 K 1 x C 2 K 1 x C 3 limit f x , x = N 11 6 (23) (24) (22) (21) (25) (20) q100 d Sum 3 n \$ n C 3 , n = 1 . .100 > n = 1 100 3 n n C 3 evalf q100 1.803919684 q500 d Sum 3 n \$ n C 3 , n = 1 . .500 > n = 1 500 3 n n C 3 evalf q500 1.827357222 q1000 d Sum 3 n \$ n C 3 , n = 1 . .1000 > n = 1 1000 3 n n C 3 evalf q1000 1.830339319...
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## This note was uploaded on 11/23/2009 for the course MATH 102 taught by Professor All during the Spring '09 term at Kettering.

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Ernst_Maple_3_Spring_2008 - 3.659559529(19(18 f d x 11 6 K...

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