The value of p and q for which the function f(x)= array ll (p+1) x+ x x & , x 0 array …
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The value of p and q for which the function
\[f(x)=\left\{\begin{array}{ll} \frac{\sin (p+1) x+\sin x}{x} & , x<0 \\ \frac{q}{\sqrt{x+x^{2}}-\sqrt{x}} & , x=0 \\ x^{3 / 2} & , x>0 \end{array}\right.\]
is continuous for all x in R, is
- \(p=\frac{5}{2}, q=\frac{1}{2}\)
- \(p=-\frac{3}{2}, q=\frac{1}{2}\)
- \(p=\frac{1}{2}, q=\frac{3}{2}\)
- \(p=\frac{1}{2}, q=-\frac{3}{2}\)
Answer
(B) p=- 3 2 , q= 1 2
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