For , define p(x)= cases x+2 ,& 0 x<4, k,& x=4. cases Find so that is continuous on…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For

0\le x\le 4

, define

p(x)=\begin{cases} \sqrt{x+2},& 0\le x<4,\\ k,& x=4. \end{cases}

Find

k

so that

p

is continuous on the closed interval

[0,4]