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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/(x-4)^2

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  1. anonymous
    • one year ago
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    \[f(x)=\frac{ 1 }{ x-4^{2} }\]

  2. hartnn
    • one year ago
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    you know what "x approaches 4 from left" mean?

  3. anonymous
    • one year ago
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    In the negative direction, correct?

  4. hartnn
    • one year ago
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    yes, more precisely, it means value of x is very very very near to 4 but LESS than 4 like 3.9 or 3.9999999

  5. anonymous
    • one year ago
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    Okay, 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?

  6. hartnn
    • one year ago
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    woah! slow down.. there are 2 cases there when x approaches 4 from left, then is x-4 negative or positive?? is (x-4)^2 negative or positive?? based on that you will be able to tell, whether its +infinity or -infinity

  7. hartnn
    • one year ago
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    similarly, the other case when x approaches 4 from right, then is x-4 negative or positive?? is (x-4)^2 negative or positive?? based on that you will be able to tell, whether its +infinity or -infinity

  8. anonymous
    • one year ago
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    from the right is positive infinity and from the left is negative infinity?

  9. hartnn
    • one year ago
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    can you first answer these?? is x-4 negative or positive?? is (x-4)^2 negative or positive??

  10. anonymous
    • one year ago
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    using what values? 3.999?

  11. hartnn
    • one year ago
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    if you're consider x is approaching from left, then yes

  12. anonymous
    • one year ago
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    then x-4 would be negative (x-4)^2 is postive

  13. hartnn
    • one year ago
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    good! so for x approaching from left we get positive infinity :)

  14. hartnn
    • one year ago
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    now take x approaching from right case

  15. anonymous
    • one year ago
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    then it would be negative infinity

  16. anonymous
    • one year ago
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    I understand now, sorry for not understanding it until now and thank you for helping me!

  17. hartnn
    • one year ago
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    welcome ^_^

  18. hartnn
    • one year ago
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    but actually for right case also, it will be +infinity

  19. hartnn
    • one year ago
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    because (x-4)^2 will anyways be positive

  20. hartnn
    • one year ago
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    @Alyssa8

  21. anonymous
    • one year ago
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    im not that smart lol sorry

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