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mathsfreak
Oct21-04, 02:29 AM
well hello
i have these two questions which is giving a lot of problem can some one help me out.

i have this function
y = min(|x|,|x-1|,|x+1|)
how do we find point where this function is not differentiable and continous.
how dow we evaluate min(.....)

secondly
[x+1.5]= [x +[sinx + [x + cosx]]]
how do we solve this [] represents greatest integer function.
x is and Integer.

thank you
Maths freak
:frown:

Galileo
Oct21-04, 03:28 AM
Write y in a form that is easier to interpret.
Notice that:
y=|x+1|, for x <= -0.5
y=|x|, for -0.5 < x < 0.5
y=|x-1|, for x >= 0.5

You can graph this function for a better picture.