Getting help

Monday 4 July 2005 at 11:08 pm | In Articles | Post Comment

At the S.O.S. Mathematics Cyberboard there’s a nice example of how students can spend all day struggling with a problem, but with a little help they can see their way to solving it in seconds. Such forums are great for getting those little nudges in the right direction that are so crucial in mathematics.

The student was trying to solve:

    For a,b,x,y \in \mathbb{R} show that if |x-a|< \varepsilon and |y-b|<\varepsilon then |xy-ab|<\left(|a|+|b|\right)\varepsilon+\varepsilon^2

If you’ve had a go and would like the ‘nudge’ the forum provided then click here
Let x=a+r and y=b+s so |r|,|s|<\varepsilon. Then calculate xy-ab

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