If f(x) is a polynomial and limt→at∫af(x)dx−(t−a)2(f(t)+f(a))( – InterviewSolution

1.	If f(x) is a polynomial and limt→at∫af(x)dx−(t−a)2(f(t)+f(a))(t−a)3=0 for all a, then the degree of f(x) can atmost be
Answer» If $f (x)$ is a polynomial and $lim t \to a \frac{t \int a f (x) d x - \frac{(t - a)}{2} (f (t) + f (a))}{(t - a)^{3}} = 0$ for all $a$ , then the degree of $f (x)$ can atmost be

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