Find the value of so that the function f(x)= cases kx^ 2 +3x,& x<2, 5x-k,& x 2 cases…

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^{2}+3x,& x<2,\\ 5x-k,& x\ge 2 \end{cases}

is continuous at

x=2