Find the value of so that the function f(x)= cases kx+1,&0 x<1, ^ 2 ,&1 x 3 cases is…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Find the value of

k

so that the function

f(x)=\begin{cases}kx+1,&0\le x<1,\\x^{2},&1\le x\le 3\end{cases}

is continuous on the interval

[0,3]