Question
$\mathop {\lim }\limits_{x \to \infty } \frac{{\log x}}{{{x^n}}},\;n > 0 =$
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$f(x)=\left\{\begin{array}{cc}2 \sin \left(-\frac{\pi x}{2}\right), & \text { if } x<-1 \\ \left|a x^{2}+x+b\right|, & \text { if }-1 \leq x \leq 1 \\ \sin (\pi x), & \text { if } x>1\end{array}\right.$ द्वारा परिभाषित है। यदि $f( x ), R$ पर सतत् है, तो $a + b$ का मान है