The function g(x)= cases 2x+1,& x<3, 7,& x 3 cases is continuous at

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

Problem

The function

g(x)= \begin{cases} 2x+1,& x<3,\\ 7,& x\ge 3 \end{cases}

is continuous at

x=3

. Describe, using limit notation in one sentence, what this fact tells you about

g