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anonymous
 one year ago
find the limit as x approaches 3 of (1)/(x3)
anonymous
 one year ago
find the limit as x approaches 3 of (1)/(x3)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 3}\frac{ 1 }{ x3 }\]

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0What does the denominator do as x approaches 3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@tkhunny it becomes 0...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please help! i have this and one more limit problem and i'm done and ive been studying all day and im exhausted and I just don't understand these.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I suggest looking at a table of values specifically x values close to x = 3 like x = 3.1, x = 3.01, x = 3.001 and x = 2.99, x = 2.999, x = 2.9999, etc

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441074112182:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I already know that the limit doesnt exist I just need to know how to prove it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441074140948:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0as x gets closer to 3 from the left side, the value of f(x) heads off to negative infinity so the left hand limit is equal to infinity \[\Large \lim_{x \to 3^{}}f(x) = \infty\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0as x gets closer to 3 from the right side, the value of f(x) heads off to positive infinity the right hand limit is equal to +infinity \[\Large \lim_{x \to 3^{+}}f(x) = +\infty\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0LHL = left hand limit RHL = right hand limit since \[\Large LHL \ne RHL\] the limit at x = 3 itself does not exist the graph confirms this https://www.desmos.com/calculator/e09hafa0f1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 how would I prove this algebraically? is there a way to manipulate or sinplify 1/x3?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I don't know any way to prove it algebraically other than to use a table maybe

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@tkhunny do you know of any way to prove it algebraically?
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