In each part, find examples of polynomials p(x) and q(x)that satisfy the stated
Chapter 1, Problem 50(choose chapter or problem)
In each part, find examples of polynomials \(p(x)\) and \(q(x)\) that satisfy the stated condition and such that \(p(x) \rightarrow+\infty\) and \(q(x) \rightarrow+\infty\) as \(x \rightarrow+\infty\).
(a) \(\lim _{x \rightarrow+\infty} \frac{p(x)}{q(x)}=1\)
(b) \(\lim _{x \rightarrow+\infty} \frac{p(x)}{q(x)}=0\)
(c)\(\lim _{x \rightarrow+\infty} \frac{p(x)}{q(x)}=+\infty\)
(d) \(\lim _{x \rightarrow+\infty}[p(x)-q(x)]=3\)
Equation Transcription:
Text Transcription:
p(x)
q(x)
p(x)right arrow + infinity
q(x)right arrow + infinity
X right arrow + infinity
Lim x right arrow + infinity p(x)/q(x) =1
Lim x right arrow + infinity p(x)/q(x) = 0
Lim x right arrow + infinity p(x)/q(x) = + infinity
Lim x right arrow [p(x)-q(x)]=3
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