Did I do this correct? determine the values of c such that the function f is continuous on the entire real line f(x)={x+3 if x less than or equal to 2 cx+6 if x>2 lim x->2+ cx+6=2c+6 lim x->2- x+3=5 2c+6=5 -6 -6 2c/2=-1/2 c=-1/2
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Originally Posted by LAPOSH42 Did I do this correct? determine the values of c such that the function f is continuous on the entire real line f(x)={x+3 if x less than or equal to 2 cx+6 if x>2 lim x->2+ cx+6=2c+6 lim x->2- x+3=5 2c+6=5 -6 -6 2c/2=-1/2 c=-1/2 That is correct. Here is some simple LaTeX code [TEX]\lim _{x \to 2^ + } f(x) = 2c + 6[/TEX] gives
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