find the limit of the rational function (a) as x→∞ and (b) as x→ - ∞. write ∞ or - ∞ where…

find the limit of the rational function (a) as x→∞ and (b) as x→ - ∞. write ∞ or - ∞ where appropriate.\nf(x)=\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}\na. \\lim_{x→∞}(\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}) = 5 (simplify your answer.)\nb. \\lim_{x→ - ∞}(\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}) = \\square (simplify your answer.)

find the limit of the rational function (a) as x→∞ and (b) as x→ - ∞. write ∞ or - ∞ where appropriate.\nf(x)=\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}\na. \\lim_{x→∞}(\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}) = 5 (simplify your answer.)\nb. \\lim_{x→ - ∞}(\\frac{5x^{4}+9}{x^{4}-x^{3}+x + 5}) = \\square (simplify your answer.)

Answer

Explanation:

Step1: Divide by highest - power term

Divide both the numerator and denominator by $x[SSE Completed, Client Connection Error][LLM SSE On Failure]