Issue 1164: make sqrt(sin(x+1)+1).limit(x, 0) simpler
http://code.google.com/p/sympy/issues/detail?id=1164
New issue report by ondrej.certik:
In [1]: sqrt(sin(x+1)+1).limit(x, 0).evalf()
Out[1]: 1.35700810049458
In [2]: sqrt(sin(x+1)+1).subs(x, 0).evalf()
Out[2]: 1.35700810049458
In [3]: sqrt(sin(x+1)+1).limit(x, 0)
Out[3]:
⎛
⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽ ⎜ 63 105⋅sin(1)
45⋅si
╲╱ 1 + sin(1) ⋅⎜─── - ─────────────────────────── -
──────────────────────────
⎜256 ⎛ 2 ⎞ ⎛
2
⎝ 64⋅⎝1 + 2⋅sin(1) + sin (1)⎠ 64⋅⎝1 + 4⋅sin(1) +
6⋅sin (
n(1) 35⋅sin(1)
───────────────────────── +
──────────────────────────────────────────────────
3 4 ⎞ ⎛ 2 3
1) + 4⋅sin (1) + sin (1)⎠ 256⋅⎝1 + 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) +
5⋅si
189⋅sin(1) 315⋅sin(1)
──────────────── + ──────────────────────────────────────── +
────────────────
4 5 ⎞ ⎛ 2 3 ⎞ 256⋅(1 +
sin(1))
n (1) + sin (1)⎠ 128⋅⎝1 + 3⋅sin(1) + 3⋅sin (1) + sin (1)⎠
105 45
- ──────────────────────────── -
────────────────────────────────────────────
⎛ 2 ⎞ ⎛ 2 3
128⋅⎝1 + 2⋅sin(1) + sin (1)⎠ 256⋅⎝1 + 4⋅sin(1) + 6⋅sin (1) + 4⋅sin (1)
+
7
──────── +
──────────────────────────────────────────────────────────────────
4 ⎞ ⎛ 2 3 4 5
⎞
sin (1)⎠ 256⋅⎝1 + 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) + 5⋅sin (1) + sin
(1)⎠
63 315
+ ──────────────────────────────────────── + ──────────────── -
──────────────
⎛ 2 3 ⎞ 256⋅(1 + sin(1)) ⎛
128⋅⎝1 + 3⋅sin(1) + 3⋅sin (1) + sin (1)⎠ 128⋅⎝1 +
4⋅sin
2 2
135⋅sin (1) 105⋅sin (1)
────────────────────────────────────── - ──────────────────────────── +
──────
2 3 4 ⎞ ⎛ 2 ⎞
⎛
(1) + 6⋅sin (1) + 4⋅sin (1) + sin (1)⎠ 128⋅⎝1 + 2⋅sin(1) + sin (1)⎠
128⋅⎝1
2
35⋅sin
(1) 1
──────────────────────────────────────────────────────────── +
───────────────
2 3 4 5 ⎞ ⎛
+ 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) + 5⋅sin (1) + sin (1)⎠ 128⋅⎝1 +
3⋅sin(
2 3
89⋅sin (1) 45⋅sin (1)
───────────────────────── -
──────────────────────────────────────────────────
2 3 ⎞ ⎛ 2 3 4
1) + 3⋅sin (1) + sin (1)⎠ 64⋅⎝1 + 4⋅sin(1) + 6⋅sin (1) + 4⋅sin (1) + sin
(1)
3
35⋅sin (1)
─ + ────────────────────────────────────────────────────────────────── +
─────
⎞ ⎛ 2 3 4 5
⎞ ⎛
⎠ 128⋅⎝1 + 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) + 5⋅sin (1) + sin (1)⎠
128⋅⎝
3 4
63⋅sin (1) 45⋅sin (1)
─────────────────────────────────── -
────────────────────────────────────────
2 3 ⎞ ⎛ 2 3
1 + 3⋅sin(1) + 3⋅sin (1) + sin (1)⎠ 256⋅⎝1 + 4⋅sin(1) + 6⋅sin (1) + 4⋅sin
(1
4
35⋅sin (1)
──────────── +
───────────────────────────────────────────────────────────────
4 ⎞ ⎛ 2 3 4
5
) + sin (1)⎠ 256⋅⎝1 + 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) + 5⋅sin (1) +
sin (
5 ⎞
7⋅sin (1) ⎟
─── + ──────────────────────────────────────────────────────────────────⎟
⎞ ⎛ 2 3 4 5 ⎞⎟
1)⎠ 256⋅⎝1 + 5⋅sin(1) + 10⋅sin (1) + 10⋅sin (1) + 5⋅sin (1) + sin (1)⎠⎠
Issue attributes:
Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium
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