Let f(x)=x2+px+3 and g(x)=x+q, where p,q∈R. If F(x)=limn→∞f(x)+x – InterviewSolution

1.	Let f(x)=x2+px+3 and g(x)=x+q, where p,q∈R. If F(x)=limn→∞f(x)+xng(x)1+xn is derivable at x=1, then the value of p2+q2 is
Answer» Let $f (x) = x^{2} + p x + 3$ and $g (x) = x + q,$ where $p, q \in R .$ If $F (x) = lim n \to \infty \frac{f (x) + x^{n} g (x)}{1 + x^{n}}$ is derivable at $x = 1$ , then the value of $p^{2} + q^{2}$ is

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