[sage-support] assumptions so that x^n -> 0?

[Dan Drake]

Why doesn't this work?

    sage: assume(x > -1)
    sage: assume(x < 1)
    sage: n = var('n')
    sage: limit(x^(n+1)/(1-x), n=infinity)
    -limit(x^(n + 1), n, +Infinity)/(x - 1)

...when this works:

    sage: forget()
    sage: assume(0 < x)
    sage: assume(x < 1) 
    sage: limit(x^(n+1)/(1-x), n=infinity)
    0

and

    sage: forget()                        
    sage: assume(x < 0)                   
    sage: assume(-1 < x)
    sage: limit(x^(n+1)/(1-x), n=infinity)
    0

?

Any ideas? I'm sure this is some Maxima thing, but I don't know how to
work with Maxima.

Thanks!
            
Dan

--
---  Dan Drake
-----  http://mathsci.kaist.ac.kr/~drake
-------

signature.asc
Description: Digital signature