일반수학 과제1

2081 days 전, apple54812@naver.com 작성

var('n') sum(2/(n^(0.85)), n, 1, +infinity) 
       
2*sum(n^(-0.85), n, 1, +Infinity)
2*sum(n^(-0.85), n, 1, +Infinity)
var('n') sum(1/(n*ln(n)), n, 2, +infinity) 
       
sum(1/(n*log(n)), n, 2, +Infinity)
sum(1/(n*log(n)), n, 2, +Infinity)
var('n') sum(1/(2*n-1), n, 1, +infinity) 
       
#0: simplify_sum(expr='sum(1/(2*n-1),n,1,inf))
Traceback (click to the left of this block for traceback)
...
ValueError: Sum is divergent.
#0: simplify_sum(expr='sum(1/(2*n-1),n,1,inf))
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_44.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dmFyKCduJykKc3VtKDEvKDIqbi0xKSwgbiwgMSwgK2luZmluaXR5KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpgbPtgE/___code___.py", line 4, in <module>
    exec compile(u'sum(_sage_const_1 /(_sage_const_2 *n-_sage_const_1 ), n, _sage_const_1 , +infinity)
  File "", line 1, in <module>
    
  File "/usr/local/sage-5.12/local/lib/python2.7/site-packages/sage/misc/functional.py", line 654, in symbolic_sum
    return expression.sum(*args, **kwds)
  File "expression.pyx", line 9700, in sage.symbolic.expression.Expression.sum (sage/symbolic/expression.cpp:40331)
  File "/usr/local/sage-5.12/local/lib/python2.7/site-packages/sage/calculus/calculus.py", line 584, in symbolic_sum
    return maxima.sr_sum(expression,v,a,b)
  File "/usr/local/sage-5.12/local/lib/python2.7/site-packages/sage/interfaces/maxima_lib.py", line 788, in sr_sum
    raise ValueError, "Sum is divergent."
ValueError: Sum is divergent.