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 2 years ago
I know this limit should be zero but i'm not sure why.
\[\lim_{n \rightarrow \infty} \frac{ 917^(n+100) }{ 955^n }\]
 2 years ago
I know this limit should be zero but i'm not sure why. \[\lim_{n \rightarrow \infty} \frac{ 917^(n+100) }{ 955^n }\]

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mathew0135
 2 years ago
Best ResponseYou've already chosen the best response.0Just to clarify that is 917^(n+100) on the top

trevorivanich
 2 years ago
Best ResponseYou've already chosen the best response.0Just going to throw a joke out here because it's 4:04am... "The limit does not exist!"  Mean Girls

trevorivanich
 2 years ago
Best ResponseYou've already chosen the best response.0That's not really the answer though :P

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{917^{n+100}}{955^{n}\] \[n> \infty\] \[{\frac{917}{955}}^n \times 917^100\] \[n\to \infty\] so \[{\frac{917}{955} }^n>0\] \[0\times 917^100=0\]

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.1oops \[0\times 917^{100}=0\]

mathew0135
 2 years ago
Best ResponseYou've already chosen the best response.0Think i've got it, how i worked it out was like this. Could be completely wrong but oh well. \[\frac{ n(\frac{ 917^{n+100} }{ n }) }{ 955 }\] \[\frac{ 0 }{ 955 }= 0\] ?

mathew0135
 2 years ago
Best ResponseYou've already chosen the best response.0wait, left something out.

mathew0135
 2 years ago
Best ResponseYou've already chosen the best response.0ahhh, just imagine the bottom line as n(955)

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.1But this part \[\frac{917^{n+100}}{n}\ne 0\] It's of the form \[\frac{\infty}{\infty}\]
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