A) 0
B) 2
C) -2
D) -1
Correct Answer: C
Solution :
[c] Given function is: \[f(x)=\left\{ \begin{matrix} 3x-4, & 0\le x\le 2 \\ 2x+\ell , & 2<x\le 9 \\ \end{matrix} \right.\] and also given that f(x) is continuous at \[x=2\]. For a function to be continuous at a point LHL = RHL = V.F. at that point. \[f(2)=2=V.F.\] \[\Rightarrow RHL:\underset{x\to 2}{\mathop{\lim }}\,(2x+\ell )=3(2)-4\] \[\Rightarrow \underset{h\to 0}{\mathop{\lim }}\,\left\{ 2(2+h)+\ell \right\}=6-4\] \[\Rightarrow 4+\ell =2,\Rightarrow \ell =-2\]You need to login to perform this action.
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