For the polynomial

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

Problem

For the polynomial p(x)=−4x4+3x2−1p(x)=-4x^{4}+3x^{2}-1, evaluate the following limits: (i) lim⁡x→∞p(x)\displaystyle\lim_{x\to\infty}p(x) (ii) lim⁡x→−∞p(x)\displaystyle\lim_{x\to -\infty}p(x)

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