the question i guess is pretty easy, and i think i know the answer i just want to be sure....
f(x)= I x I if x =/= (doesn't equal) 0
1 if x = 0
find (lim) f(x)
x>1
2007-09-28 01:49:27 · 2 answers · asked by f4b_4 1 in Science & Mathematics ➔ Mathematics
In a small neighbourhood of 1, l x l = x.
Hence, lim ( x-> 1) l x l = 1
(Information that l x l = 1 at x = 0 is immaterial unless the question was related to continuity at x = 0.)
If lim x -> 0 is asked, then answer is 0. Here also, the information that l x l = 1 at x = 0 is immaterial. However, in this case the function is discontinuous although limit exists.
2007-09-28 02:20:48 · answer #1 · answered by Madhukar 7 · 0⤊ 0⤋
IxI = x if x is near to 1 so lim fx for x==>1 is 1
and lim f(x) if x==>0 is 0 but at x=0 the functions is not continuos
2007-09-28 09:13:43 · answer #2 · answered by santmann2002 7 · 0⤊ 0⤋