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sarah43

  • 2 years ago

The graph of a function is given. Use the graph to find the indicated limit and function value, or state that the limit or function value does not exist. I will post graph

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  1. sarah43
    • 2 years ago
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    a. lim x-->(1+) f(x) b. f(1)

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  2. sarah43
    • 2 years ago
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    @satellite73

  3. IsTim
    • 2 years ago
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    Where do you think the limit exists at?

  4. IsTim
    • 2 years ago
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    From there, we can understand exactly what you need assistance in.

  5. sarah43
    • 2 years ago
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    I am not sure how to approach this problem.. A. a. lim x-->(1+) f(x) = 1 b. f(1) = 0 B. a. lim x-->(1+) f(x) does not exist b. f(1) = 2 C. a. lim x-->(1+) f(x) = 2 b. f(1) = 2 D. a. lim x-->(1+) f(x) = 2 b. f(1) = 1

  6. satellite73
    • 2 years ago
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    \[\lim_{x\to 1^+}\] means you are headed to \(1\) on the \(x\) axis from the right, i.e. from numbers larger than 1|dw:1345691766209:dw|

  7. sarah43
    • 2 years ago
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    wait i think i got it! is it B??

  8. satellite73
    • 2 years ago
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    imagine you are going along the graph travelling from right to left, headed to where \(x=1\) what \(y\) value are you approaching?

  9. satellite73
    • 2 years ago
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    actually the right and limit DOES exist the two sided limit \(\lim_{x\to 1}f(x)\) does not exist

  10. sarah43
    • 2 years ago
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    sorry i meant C since the y value you are approaching is 2

  11. satellite73
    • 2 years ago
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    yeah, C is always a safe bet it is also correct in this case

  12. sarah43
    • 2 years ago
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    ok thnxx

  13. satellite73
    • 2 years ago
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    yw

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