Question

lim x-infintive (3 x^2-4x+5)/12x^2+x+3

Answer 1

Answer :

We know that,

$\bold{\lim_{x\to\infty} \frac{1}{x}=0}$

$\bold{\lim_{x \to \infty} \frac{1}{x^{2}}=0}$

Now,

$\bold{\lim_{x \to \infty} \dfrac{3x^{2}-4x+5}{12x^{2}+x+3}}$

$\bold{=\lim_{x \to \infty} \dfrac{3-\frac{4}{x}+\frac{5}{x^{2}}}{12+\frac{1}{x}+\frac{3}{x^{2}}}}$

$\bold{=\frac{3}{12}}$

$\bold{=\frac{1}{4}}$

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