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 one year ago
I know this limit should be zero but i'm not sure why.
\[\lim_{n \rightarrow \infty} \frac{ 917^(n+100) }{ 955^n }\]
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0Just to clarify that is 917^(n+100) on the top

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

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

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

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

ash2326
 one year 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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