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anonymous
 one year ago
limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.
Would the limit be 0 or does not exist?
anonymous
 one year ago
limit as x approaches zero of quantity negative six plus x divided by x to the fourth power. Would the limit be 0 or does not exist?

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Zale101
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 0}~[6+\frac{x}{x^4}]\] Like this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 6+x }{ x^4 }\]

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1Oh i see \[\lim_{x \rightarrow 0} ~[\large \frac{6+x}{x^4}]= \\lim_{x \rightarrow 0} ~[\large \frac{\frac{6}{x^4}+\frac{x}{x^4}}{\frac{x^4}{x^4}}]= \lim_{x \rightarrow 0} ~[\large \frac{\frac{6}{x^4}+\frac{1}{x^4}}{{1}}]=\]

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1Now, what happens if i sub in x=0?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's 0/1 which is undefined? @Zale101

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1\[\lim_{x \rightarrow 0} ~[\large \frac{\frac{6}{x^4}+\frac{1}{x^3}}{1}]=\large \frac{\frac{6}{0}+\frac{1}{0}}{1}\] Therefore, it does not exist because something over a zero is indeterminate.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Zale101 Could you help me with a couple more?
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