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Babynini
 one year ago
Limits of absolute values
Babynini
 one year ago
Limits of absolute values

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Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Ok lets first note, dw:1443917561077:dw if we plug the limit we will get 0/0 correct?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2All we really need to know is dw:1443917619092:dw so we have to break it up as such

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Now we have to take the limit as it approaches 5 from the left and right, so we have \[\huge \lim_{x \rightarrow 5^{}} \frac{ 5(x) }{ 5+x } = ...\] and \[\huge \lim_{x \rightarrow 5^+} \frac{ 5x }{ 5+x } = ...\]does that make sense?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Okay, but direct substitution still doesn't work there o.o

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0They equal, 1 and  1 respectively?

Zarkon
 one year ago
Best ResponseYou've already chosen the best response.3coming from either direction of 5 we have \[\lim_{x \rightarrow 5} \frac{ 5x }{ 5+x } =\lim_{x \rightarrow 5} \frac{ 5(x) }{ 5+x } \]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Yes, thanks @Zarkon

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Yay!! ok, perfect. Thanks both of you :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Had to note x<0 for both :p
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