Let g(x)= 5x^ 3 -x x^ 2 +1 2x^ 3 + x^ 4 +4 .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

g(x)=\frac{5x^{3}-x\sqrt{x^{2}+1}}{2x^{3}+\sqrt{x^{4}+4}}.

(1) Part (a) — Algebraic reformulation (2) Part (b) — Evaluation of the limit (3) Part (c) — Explanation of the role of radical terms