# question about a continuous function

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• Nov 3rd 2010, 04:48 AM
Fujiwara
question about a continuous function
What should be the value of A, so that the following function is continuous at x = 2 ?

f(x)= (x-2)/(x^2-4), when x≠2
f(x)= A, when x=2
• Nov 3rd 2010, 05:02 AM
Plato
If $x\not=2$ then $\dfrac{x-2}{x^2-4}=\dfrac{1}{x+2}$.