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Limits Continuity And Differentiability

TG EAPCET 2025 (Online) 3rd May Evening Shift

MCQ+1 / -02025

If the real valued function


$$ f(x)=\left\{\begin{array}{ccc} \frac{\cos 3 x-\cos x}{x \sin x}, & \text { if } & x<0 \\ p, & \text { if } & x=0 \\ \frac{\log (1+q \sin x)}{x}, & \text { if } & x>0 \end{array}\right. $$


is continuous at $x=0$, then $p+q=$


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