Find all real values of for which the function f(x)= cases kx+3,& x<2

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

Problem

Find all real values of

k

for which the function

f(x)=\begin{cases} kx+3,& x<2,\\ \sqrt{x}+1,& x\ge 2 \end{cases}

is continuous at

x=2