Limits Continuity And Differentiability

Let \(f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3\), x \(\in\) R. Then the natural number n for which \(\mathop {\lim }\limits_{x \to 1} {{{x^n}f(1) - f(x)} \over {x - 1}} = 44\) is __________.