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For which value(s) of c is the function T continuous on (-infinity, +infinity)?

T(x)={ cx^2-2x , if x >/= 2;
{ x^3-cx , if x> 2

2007-10-27 11:26:00 · 1 answers · asked by nickesha t 2 in Science & Mathematics ➔ Mathematics

1 answers

lim T(x )for x==>2+ = 4c-4
limT(x) x==>2- =8-2c
4c-4=8-2c so 6c=12 and c=2

2007-10-27 11:35:22 · answer #1 · answered by santmann2002 7 · 1⤊ 0⤋

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