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x/x = 1 at x=0?

asked 2011-02-28 06:45:13 -0600

Shu gravatar image

How can I find that x/x is undefined at x=0?

Or any way when I write x/x, it returns x/x instead of 1?

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answered 2011-02-28 07:20:48 -0600

kcrisman gravatar image

There are a few ways to do this, though I do not know exactly what you need for this so it may or may not fill your needs.

sage: f = x.mul(1/x,hold=True)
sage: f
x/x
sage: f(x=3)
1
sage: f(x=0)
<snip>
RuntimeError: power::eval(): division by zero

However, this will still give

sage: f.derivative(x)
0

So I don't know if this is exactly what you want. Also, we still don't have a way to 'unhold' other than simplification at this time.

sage: f.simplify()
1
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Asked: 2011-02-28 06:45:13 -0600

Seen: 87 times

Last updated: Feb 28 '11