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

Printable View

- Nov 3rd 2010, 03:48 AMFujiwaraquestion 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, 04:02 AMPlato
If $\displaystyle x\not=2$ then $\displaystyle \dfrac{x-2}{x^2-4}=\dfrac{1}{x+2}$.