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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
 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
 one year ago

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mathew0135Best ResponseYou've already chosen the best response.0
Just to clarify that is 917^(n+100) on the top
 one year ago

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

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

ash2326Best 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 \[{\frac{917}{955} }^n>0\] \[0\times 917^100=0\]
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
oops \[0\times 917^{100}=0\]
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
Think i've got it, how i worked it out was like this. Could be completely wrong but oh well. \[\frac{ n(\frac{ 917^{n+100} }{ n }) }{ 955 }\] \[\frac{ 0 }{ 955 }= 0\] ?
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
wait, left something out.
 one year ago

mathew0135Best ResponseYou've already chosen the best response.0
ahhh, just imagine the bottom line as n(955)
 one year ago

ash2326Best ResponseYou've already chosen the best response.1
But this part \[\frac{917^{n+100}}{n}\ne 0\] It's of the form \[\frac{\infty}{\infty}\]
 one year ago
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