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F ( X ) = X 2 − 9 X − 3 is Not Defined at X = 3. What Value Should Be Assigned to F(3) for Continuity of F(X) at = 3? - Mathematics

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Sum

`f(x)=(x^2-9)/(x - 3)` is not defined at x = 3. what value should be assigned to f(3) for continuity of f(x) at = 3?

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Solution

To be  continuous at x = 3'
`f(3)=lim_(x -> 3) (x^2 - 9)/(x-3)`

`=lim_(x->3)((x-3)(x + 3))/(x-3)`

`= lim_(x->3)(x + 3) = 6`

   f(3)=6

Concept: Continuous Function of Point
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