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limit n tend to( n^2*e^-n)the sequences is converge or diverge
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\[\lim_{x \rightarrow \infty} \frac{x^2}{e^x}\]
use Hopital rule twice
can u solve it
\[\lim_{x \rightarrow \infty} \frac{x^2}{e^x}=\lim_{x \rightarrow \infty} \frac{2x}{e^x}=\lim_{x \rightarrow \infty} \frac{2}{e^x}=\lim_{x \rightarrow \infty} \frac{2}{\infty}=0\]
then the the sequences is converge
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thanks borther.. jazak ALLAH
MARHABA
BROTHER IN THE 3RD STEP ONLY 2/e^x where is x..? i mean 2x rather tthen x why.. can u explain it.
oho brother again derivative..?
plz bro ans this question
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please post each question separately thanks :)
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