solve it in Poisson Theorem

N

neworld222

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Jun 26, 2007
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look at the question ,i can't solve it perfactly
3440d1183218383-solve-poisson-theorem-part3.e1.30.gif
 
Ponder the limit as x increases without bound

(1 + 1/x)^x

It is 1/e.

Now this one

(1 + 1/(ax))^x

It is e^(-1/a)

I think the idea is that 100 is sufficiently large, though a long way to go for an actual limit, that it is a good enough approximation just to use the limit.
 
tkhunny said:
Ponder the limit as x increases without bound

(1 + 1/x)^x

It is 1/e.

Now this one

(1 + 1/(ax))^x

It is e^(-1/a)

I think the idea is that 100 is sufficient large, though a long way to go for an actual limit, that it is a good enough approximation just to use the limit.
Click to expand...

yes,you're right.
but i still can't solve it ,that how y go from step2 to step 3.
i get subject on a book.
there says y go from step 2 to setp 3 by 'poisson theorem'.
i don't comprehend about 'poisson theorem'.so i need help in this math forum
 
Can't solve what? The second expression IS the limit as x increases without bound. Using the limit as an approximation is all that is happening. Thus the "approximately equal to" symbol.
 
tkhunny said:
Can't solve what? The second expression IS the limit as x increases without bound. Using the limit as an approximation is all that is happening. Thus the "approximately equal to" symbol.
Click to expand...
thx i had solved it
 
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