The value of p and q for which the function f ( x )= ll (p+1) x+ … - Vidyadip

Question

The value of p and q for which the function $f ( x )=\left\{\begin{array}{ll}\frac{\sin (p+1) x+\sin x}{x} & , x<0 \\ q & , x=0 \\ \frac{\sqrt{x+b x^2}-\sqrt{x}}{x^{\frac{3}{2}}} & , x>0\end{array}\right.$ is continuous for all $x \in R$, are

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Answer

(a) $p =-\frac{3}{2}, q =\frac{1}{2}$
Explanation: $p =-\frac{3}{2}, q =\frac{1}{2}$

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