Opened 12 years ago
Last modified 11 years ago
#8943 closed enhancement
RuntimeError with series — at Version 1
Reported by: | casamayou | Owned by: | burcin |
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Priority: | minor | Milestone: | sage-4.7.1 |
Component: | calculus | Keywords: | series, taylor |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
The function *series* can not give the power series expansion of f(x)=(1+arctan(x))(1/x) , while *taylor* succeeds. Note that the function f can be continuously extended at 0.
sage: taylor((1+arctan(x))**(1/x), x, 0, 3) 1/16*x^3*e + 1/8*x^2*e - 1/2*x*e + e sage: ((1+arctan(x))**(1/x)).series(x==0, 3) RuntimeError: power::eval(): division by zero
Subsidiary question: why the functions *taylor* and *series* perform similar tasks, but differently?
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