Monday, May 24, 2010

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

T(x)={ cx^2-2x , if x %26gt;/= 2;


{ x^3-cx , if x%26gt; 2

For which value(s) of c is the function T continuous on (-infinity, +infinity)?
lim T(x )for x==%26gt;2+ = 4c-4


limT(x) x==%26gt;2- =8-2c


4c-4=8-2c so 6c=12 and c=2


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