Question

solve :
$lim_{x \to \: \infty }( \frac{ a{x}^{2} + bx + c }{d {x}^{2} + ex + f} )$
✏️class 11...limits


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Answer 1

Step-by-step explanation:

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Answer 2

$\lim_{x \to \infty} (\frac{ax^2+bx+c}{dx^2+ex+f})$

Let us take x² common from numerator and the denominator

⇒ $\lim_{x \to \infty}[ \frac{ x2(a+\frac{b}{x} +\frac{c}{x^2} ) }{x^2(d+\frac{e}{x} +\frac{f}{x^2} )}]$

⇒ $\lim_{x \to \infty}[ \frac{ (a+\frac{b}{x} +\frac{c}{x^2} ) }{(d+\frac{e}{x} +\frac{f}{x^2} )}]$

we now as x →∞  1/x and 1/x^2 → 0

so,

$\lim_{x \to \infty}[\frac{a}{d} ] = \frac{a}{d}$

HOPE THIS HELPS YOU ✌️✌️☘️☘️.!!