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anonymous
 one year ago
Determine whether f(x) approaches negative or positive infinity as x approaches 4 from the left and right.
f(x)= 1/(x4)^2
anonymous
 one year ago
Determine whether f(x) approaches negative or positive infinity as x approaches 4 from the left and right. f(x)= 1/(x4)^2

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{ 1 }{ x4^{2} }\]

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1you know what "x approaches 4 from left" mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In the negative direction, correct?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1yes, more precisely, it means value of x is very very very near to 4 but LESS than 4 like 3.9 or 3.9999999

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, and from there I can come to the conclusion that it will be infinitely positive and infinitely negative as x approaches 4 from the left and right?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1woah! slow down.. there are 2 cases there when x approaches 4 from left, then is x4 negative or positive?? is (x4)^2 negative or positive?? based on that you will be able to tell, whether its +infinity or infinity

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1similarly, the other case when x approaches 4 from right, then is x4 negative or positive?? is (x4)^2 negative or positive?? based on that you will be able to tell, whether its +infinity or infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0from the right is positive infinity and from the left is negative infinity?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1can you first answer these?? is x4 negative or positive?? is (x4)^2 negative or positive??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0using what values? 3.999?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1if you're consider x is approaching from left, then yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then x4 would be negative (x4)^2 is postive

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1good! so for x approaching from left we get positive infinity :)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1now take x approaching from right case

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then it would be negative infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understand now, sorry for not understanding it until now and thank you for helping me!

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1but actually for right case also, it will be +infinity

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1because (x4)^2 will anyways be positive

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not that smart lol sorry
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