Solve - limn-n3-5n2-6nn3- -

#160; lim_n→∞n^3 5n^2+6nn^3 #160; lim_n→∞n^3(1 5n+ 6n^2)n^3 lim_n→∞(1 5n+ 6n^2)=1 ...

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Standard XII

Mathematics

Property 2

Solve : lim...

Question

Solve : $lim n \to \infty \frac{n^{3} - 5 n^{2} + 6 n}{n^{3}} =$ ?

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Solution

$lim n \to \infty \frac{n^{3} - 5 n^{2} + 6 n}{n^{3}}$
$lim n \to \infty \frac{n^{3} (1 - \frac{5}{n} + \frac{6}{n^{2}})}{n^{3}}$
$lim n \to \infty (1 - \frac{5}{n} + \frac{6}{n^{2}}) = 1$

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Solve : limn→∞n3−5n2+6nn3= ?

limn→∞n3−5n2+6nn3 limn→∞n3(1−5n+6n2)n3limn→∞(1−5n+6n2)=1

Solve : $lim n \to \infty \frac{n^{3} - 5 n^{2} + 6 n}{n^{3}} =$ ?

$lim n \to \infty \frac{n^{3} - 5 n^{2} + 6 n}{n^{3}}$
$lim n \to \infty \frac{n^{3} (1 - \frac{5}{n} + \frac{6}{n^{2}})}{n^{3}}$
$lim n \to \infty (1 - \frac{5}{n} + \frac{6}{n^{2}}) = 1$