Limits

The limit of summation ques
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9 Replies
iTeachChem Helper
@Apu
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CorrodedCoffin
CorrodedCoffinOP2mo ago
It's n tending infinity btw
CorrodedCoffin
CorrodedCoffinOP2mo ago
I was able to simplify the summation part up until this
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CorrodedCoffin
CorrodedCoffinOP2mo ago
Cant figure out the limit
SirLancelotDuLac
Everything apart from 1 tends to zero. Comparing $2^{n}$ and n! would be something like this: $2^{n}$ means that you are multiplying 2 'n' times, while n! would mean multiplying n consecutive natural numbers. Since 3,4....n are greater than 2, this grows dramatically larger than $2^{n}$. Hence the $\frac{2^{n}}{n!}$ wala term tends to zero. As for the $\frac{1}{(n+1)!}$ term that grows to zero.
TeXit
TeXit2mo ago
SirLancelotDuLac
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CorrodedCoffin
CorrodedCoffinOP2mo ago
had pretty much the same logic just needed to confirm this got it thanxx +solved @SirLancelotDuLac
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