Find the values of k so that the function f is continuous at the indicated point in `f(x)={{:(k x^2, ifxlt=2),(3, ifx >2):}` at `x = 2`.

Explanation

Given that,


`f(x)={frac (x^3 = x^2 - 16x = 20)((x-2)^2)`


;`x!=2`


;`x=2`


Since, `f(x)` is continous at `x=2`


i.e, L.H.L = `f(2)` = R.H.L


or `lim_(xrarr2^-) f(x) = k`


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