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# Continuity by Finding $a$ with Piecewise Trig and L'Hospital's

APCALC-N$3NYW Find the$a$that makes$f(x)$continuous for all real numbers. $$f(x)=\begin{Bmatrix} \frac { sin(2x) }{ x } +a & x<0 \\\ 3cos(x) & 0\le x \end{Bmatrix}$$ A$a=0$B$a=1$C$a=3$D No value of$a$can make$f(x)\$ continuous.