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anonymous

  • 5 years ago

what is the limit as x approaches 3 on these two graphs? images attached.

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  1. anonymous
    • 5 years ago
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  2. amistre64
    • 5 years ago
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    what would/is the value at x=3?

  3. amistre64
    • 5 years ago
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    graph 1 has a jump so the value from the left doesnt match the value from the right, no matchy, no limit

  4. amistre64
    • 5 years ago
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    graph 2 is the is the same value from the left and the right at x=3, its limit is simply the value at x=3

  5. anonymous
    • 5 years ago
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    if i add the two (DNE +3=DNE) my software doesnt accept my ans

  6. amistre64
    • 5 years ago
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    why would you add them?

  7. anonymous
    • 5 years ago
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    limx→3+[f(x)+g(x)]

  8. anonymous
    • 5 years ago
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    thats the problem given to me, im supposed to determine the limit as x approaches 3 on both graph and perform that calculation

  9. amistre64
    • 5 years ago
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    does it specify a direction?

  10. anonymous
    • 5 years ago
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    oh yea sorry

  11. anonymous
    • 5 years ago
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    from the right side

  12. amistre64
    • 5 years ago
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    the value as x approaches 3 from the left or right?

  13. amistre64
    • 5 years ago
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    from the right then is just the value of "hole" at x=3 as you follow the line from the right in graph 1 then

  14. amistre64
    • 5 years ago
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    do you see that on graph1 the value is approaching y=3 from the right?

  15. anonymous
    • 5 years ago
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    yes

  16. amistre64
    • 5 years ago
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    since the right and left limits do not match there is no "limit" at x=3; but we can determine directional limits just fine

  17. anonymous
    • 5 years ago
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    i wrote DNE and my software rejected the ans

  18. amistre64
    • 5 years ago
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    dont write DNE then :)

  19. amistre64
    • 5 years ago
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    limit from the right g1 = 3; g2 = 1

  20. amistre64
    • 5 years ago
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    3+1 = 4

  21. anonymous
    • 5 years ago
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    how is graph2= 1

  22. amistre64
    • 5 years ago
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    what is the value of x=3 in g2?

  23. amistre64
    • 5 years ago
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    its on the curve itself so it definantly has a limit

  24. anonymous
    • 5 years ago
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    i see

  25. anonymous
    • 5 years ago
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    thanks for the help can you help me with these two but first let me try to see if i understand 2. f(3)g(3) 3. f(3)+g(3)

  26. amistre64
    • 5 years ago
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    f*g f+3

  27. amistre64
    • 5 years ago
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    the values are the same if as before if we are limiting from the right

  28. amistre64
    • 5 years ago
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    f*g f+g typoed myself

  29. anonymous
    • 5 years ago
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    we are supposed to get the same ans? if so my software is saying different

  30. amistre64
    • 5 years ago
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    not the same answer perse; but since the values of f(3) and g(3) dont change from problem to problem we dont need to refigure them out all over again

  31. anonymous
    • 5 years ago
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    ok so what i perform (3) (1)= 3, my software says no

  32. anonymous
    • 5 years ago
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    when*

  33. amistre64
    • 5 years ago
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    from what youve written, thats what I would agree to

  34. amistre64
    • 5 years ago
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    otherwise your notation is off

  35. anonymous
    • 5 years ago
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    well it says f(3) g(3) and graph 1 is f, graph 2 is g

  36. amistre64
    • 5 years ago
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    maybe its not talking about limits, but values?

  37. anonymous
    • 5 years ago
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    yeah i think so

  38. amistre64
    • 5 years ago
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    f(3) has a specific value, the dot itself

  39. amistre64
    • 5 years ago
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    g(3) is still 1 no matter if its the limit or not :)

  40. anonymous
    • 5 years ago
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    you were right. thanks for the help very much

  41. amistre64
    • 5 years ago
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    youre welcome :)

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