The value of lim x → ∞ ( x 2 + a x + 5 x 2 + b x + 4 ) is, b / a, 1, 0, 4/5

lim x → ∞ [ 1 + x a + x 2 5 1 + x b + x 2 4 ] = 1

The value of lim x → ∞ ( x 2 + a x + 5 x 2 + b x + 4 ) is

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The value of $\lim _{x \rightarrow \infty}\left(\frac{x^2+b x+4}{x^2+a x+5}\right)$ is

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2006 Upvotes Verified Answer

The correct answer is: $1$

$\lim _{x \rightarrow \infty}\left[\frac{1+\frac{b}{x}+\frac{4}{x^2}}{1+\frac{a}{x}+\frac{5}{x^2}}\right]=1$

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