`f(x)={{:(kx^(2)",","यदि ",xle2),("3,","यदि ",xgt2):}` द्वारा परिभाषित फलन `x=2` पर |

Explanation

`f(x)={{:(kx^(2)",",xle2),("3,",x gt2):}`
x = 2 पर
`f(2)=k(2)^(2)=4k`
`R.H.L. = underset(xrarr2^(+))(lim)f(x)" माना "2+h=x`
`=underset(hrarr0)(lim)f(2+h)=underset(hrarr0)(lim)3=3" "rArr 2+hrarr2`
`" "rArr h rarr0`
`because" "f(x), x=2 ` पर सतत है
`therefore" "f(2)=R.H.L.`
`rArr" "4k=3`
`rArr" "k=(3)/(4)`