(Solved) Consider the rational function f(x)=(x^4-41 x^2+400)/(x^2+x-20) [COMMENTS HINTS: Be wary of any domain restrictions.] Determine lim _x \rightarrow


Question: Consider the rational function \(f(x)=\frac{x^{4}-41 x^{2}+400}{x^{2}+x-20}\) [COMMENTS & HINTS: Be wary of any domain restrictions.]

  1. Determine \(\lim _{x \rightarrow 0} f(x)\)
  2. Determine \(\lim _{x \rightarrow+4} f(x)\)
  3. Determine \(\lim _{x \rightarrow-5} f(x)\)
  4. Determine \(\lim _{x \rightarrow-4} f(x)\)
  5. Determine \(\lim _{x \rightarrow+5} f(x)\)

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