If n-limrn-0- then r-

Explanation for the correct option.By applying limit to n→∞limr^n=0, we getr^∞=0The limit will exist only for the fraction, where numerator is less than the den ...

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Standard XII

Mathematics

Greatest Binomial Coefficients

If n→∞limrn=0...

Question

If $\underset{n \to \infty}{l i m} r^{n} = 0$ , then $r = ?$

$\frac{4}{5}$

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$\frac{5}{4}$

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$2$

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$1$

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Solution

The correct option is A
$\frac{4}{5}$

Explanation for the correct option.
By applying limit to $\underset{n \to \infty}{l i m} r^{n} = 0$ , we get
$r^{\infty} = 0$
The limit will exist only for the fraction, where numerator is less than the denominator.
$\Rightarrow r = \frac{4}{5}$
Hence, option A is correct.

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If limn→∞rn=0, then r=?

The correct option is A 45Explanation for the correct option.By applying limit to limn→∞rn=0, we getr∞=0The limit will exist only for the fraction, where numerator is less than the denominator.⇒r=45Hence, option A is correct.

If $\underset{n \to \infty}{l i m} r^{n} = 0$ , then $r = ?$