LimitsWatch

#1
f(x)= 1-x, if x is rational,
or x, if x is not rational
Determine the limit of f(x) if it exists, when x tends to 0
0
4 years ago
#2
Well, when if it's not rational the limit is 1
when it's rational it depends, if for example f(x)=(2x-2)/(3x-4) the limit tends to 1-(1/2)
but if you have a function f(x)=2x^2+3x/(3x^2 +5x) It tends to 2/3.
so it hasn't a definite limit in 0.
1
4 years ago
#3
Just consider two sequences approaching 0. One irrationals and the other one rationals...the limits are 1 and 0 so it does not exist..
1
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