The correct option is B 0 we have lim_x→∞sin ax/bx At x=∞, the value of the given expression is ∞/∞ form we know, lim_x→∞sin x/x=0 lim_x→∞sin ax/ax×ax/bx =(a ...

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Standard XII

Mathematics

Standard Limits to Remove Indeterminate Form

lim x →∞sinax...

Question

$lim x \to \infty \frac{s i n a x}{b x} =$

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Solution

The correct option is C
0

we have $lim x \to \infty \frac{s i n a x}{b x}$

At $x = \infty$ , the value of the given expression is $\frac{\infty}{\infty}$ form

we know, $lim x \to \infty \frac{s i n x}{x} = 0$

$lim x \to \infty \frac{s i n a x}{a x} \times \frac{a x}{b x}$

$= (\frac{a}{b}) lim x \to \infty \frac{s i n a x}{a x}$

$= (\frac{a}{b}) \times 0 = 0$

Option C is correct

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limx→∞sinaxbx=

The correct option is C 0 we have limx→∞sinaxbx At x=∞, the value of the given expression is ∞∞ form we know, limx→∞sinxx=0 limx→∞sinaxax×axbx =(ab)limx→∞sinaxax =(ab)×0=0 Option C is correct

$lim x \to \infty \frac{s i n a x}{b x} =$