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example-limit

example(limit);

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example-limit-sin

example(limit);

limit(x*sin(x),x,0);

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example-genmatrix

example(genmatrix);

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example-expand-limit

n*((b+n+1)/(a+n+1)-1);

expand(n*((b+n+1)/(a+...

example(limit);

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example

example(range);

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example-limit

f:(x-1)^3/((x-2)*x^2);

example(limit);

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example

example(approx);

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example-inf-limit-sin

example(limit);

limit(x*sin(x),x,inf);

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example-hypergeometric-true

hypergeometric([],[],...

hypergeometric([1],[1...

hypergeometric([-1],[...

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example-genmatrix

example(genmatrix);

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example

Run Example
(%i1)L:create_list(i^2,i,1,200);
(%o1) [1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 
289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 
1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 
2025, 2116, 2209, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249, 
3364, 3481, 3600, 3721, 3844, 3969, 4096, 4225, 4356, 4489, 4624, 4761, 4900, 
5041, 5184, 5329, 5476, 5625, 5776, 5929, 6084, 6241, 6400, 6561, 6724, 6889, 
7056, 7225, 7396, 7569, 7744, 7921, 8100, 8281, 8464, 8649, 8836, 9025, 9216, 
9409, 9604, 9801, 10000, 10201, 10404, 10609, 10816, 11025, 11236, 11449, 
11664, 11881, 12100, 12321, 12544, 12769, 12996, 13225, 13456, 13689, 13924, 
14161, 14400, 14641, 14884, 15129, 15376, 15625, 15876, 16129, 16384, 16641, 
16900, 17161, 17424, 17689, 17956, 18225, 18496, 18769, 19044, 19321, 19600, 
19881, 20164, 20449, 20736, 21025, 21316, 21609, 21904, 22201, 22500, 22801, 
23104, 23409, 23716, 24025, 24336, 24649, 24964, 25281, 25600, 25921, 26244, 
26569, 26896, 27225, 27556, 27889, 28224, 28561, 28900, 29241, 29584, 29929, 
30276, 30625, 30976, 31329, 31684, 32041, 32400, 32761, 33124, 33489, 33856, 
34225, 34596, 34969, 35344, 35721, 36100, 36481, 36864, 37249, 37636, 38025, 
38416, 38809, 39204, 39601, 40000]
(%i2) L[103];
(%o2)                                10609
(%i3) N:create_list(L[i],i,50,80);
(%o3) [2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249, 3364, 3481, 3600, 3721, 
3844, 3969, 4096, 4225, 4356, 4489, 4624, 4761, 4900, 5041, 5184, 5329, 5476, 
5625, 5776, 5929, 6084, 6241, 6400]
(%i4) N[5];
(%o4)                                2916
(%i5) example(append);

(%i1) 
(%i6) append([x+y,0,-3.2],[2.5E+20,x])
(%o6)                    [y + x, 0, - 3.2, 2.5E+20, x]
(%o6)                                done
(%i7) D:create_list(L[i*2],i,1,100);
(%o7) [4, 16, 36, 64, 100, 144, 196, 256, 324, 400, 484, 576, 676, 784, 900, 
1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 2304, 2500, 2704, 2916, 3136, 
3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, 5476, 5776, 6084, 6400, 6724, 
7056, 7396, 7744, 8100, 8464, 8836, 9216, 9604, 10000, 10404, 10816, 11236, 
11664, 12100, 12544, 12996, 13456, 13924, 14400, 14884, 15376, 15876, 16384, 
16900, 17424, 17956, 18496, 19044, 19600, 20164, 20736, 21316, 21904, 22500, 
23104, 23716, 24336, 24964, 25600, 26244, 26896, 27556, 28224, 28900, 29584, 
30276, 30976, 31684, 32400, 33124, 33856, 34596, 35344, 36100, 36864, 37636, 
38416, 39204, 40000]
(%i8) append(N,D);
(%o8) [2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249, 3364, 3481, 3600, 3721, 
3844, 3969, 4096, 4225, 4356, 4489, 4624, 4761, 4900, 5041, 5184, 5329, 5476, 
5625, 5776, 5929, 6084, 6241, 6400, 4, 16, 36, 64, 100, 144, 196, 256, 324, 
400, 484, 576, 676, 784, 900, 1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 
2304, 2500, 2704, 2916, 3136, 3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, 
5476, 5776, 6084, 6400, 6724, 7056, 7396, 7744, 8100, 8464, 8836, 9216, 9604, 
10000, 10404, 10816, 11236, 11664, 12100, 12544, 12996, 13456, 13924, 14400, 
14884, 15376, 15876, 16384, 16900, 17424, 17956, 18496, 19044, 19600, 20164, 
20736, 21316, 21904, 22500, 23104, 23716, 24336, 24964, 25600, 26244, 26896, 
27556, 28224, 28900, 29584, 30276, 30976, 31684, 32400, 33124, 33856, 34596, 
35344, 36100, 36864, 37636, 38416, 39204, 40000]
(%i9) 
Run Example
example(kimit);
example: kimit not found. 'example();' returns the list of known examples.
(%o1)                                done
(%i2) 
Run Example
example (equations);

(%i1) 
(%i2) 1+x = y^2
                                           2
(%o2)                             x + 1 = y
(%i1) 
(%i3) x-1 = 1+2*y
(%i1) 
(%i4) %+%th(2)
                                     2
(%o4)                         2 x = y  + 2 y + 1
(%i1) 
(%i5) %th(3)/y
                                   x + 1
(%o5)                              ----- = y
                                     y
(%i1) 
(%i6) 1/%
                                     y     1
(%o6)                              ----- = -
                                   x + 1   y
(%o6)                                done
(%i7) 

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Help for Example