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anonymous
 one year ago
Applied Calculus 1 question. How would you go about finding the limit of the following function without using a calculator?
anonymous
 one year ago
Applied Calculus 1 question. How would you go about finding the limit of the following function without using a calculator?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 5} \frac{ \sqrt{x+4}3 }{ x5 }\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hey Mojo :) You would start by applying an algebraic trick, multiplying the top and bottom by the `conjugate` of the numerator.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \lim_{x\to5}\frac{\sqrt{x+4}3}{x5}\color{royalblue}{\left(\frac{\sqrt{x+4}+3}{\sqrt{x+4}+3}\right)}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yup did that got \[\lim_{x \rightarrow 5}\frac{ x+1 }{ (x5)(\sqrt{x+4}3) }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry mean to have +3 not negative

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hmmm that numerator looks a big messed up :O

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oooh i see what id id wrong lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Recall that when you multiply conjugates, you get the difference of `squares`. You have to square that 3! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks for pointing that out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yay the got an answer of 1/9
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