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anonymous

  • one year ago

lim x → ∞ 16x4 − x3 + x + 4/ 4x4 + 2x3 + x2 + 5x + 2

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  1. amistre64
    • one year ago
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    it tends to be best to divide it all by the highest power of x that is present

  2. amistre64
    • one year ago
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    there are 3 general rules for polynomial quotients that can be memorized as well, if you are up to remembering stuff

  3. anonymous
    • one year ago
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    In case you didn't know all the numbers next to the "X" is a power, ex: 16x^4-x^3 ++4/4x^4+2x^3+x^2+5x+2

  4. amistre64
    • one year ago
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    and, what do you get when you divide all the terms by the highest power of x?

  5. anonymous
    • one year ago
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    simplify...

  6. amistre64
    • one year ago
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    (16x4 − x3 + x + 4)/x4 --------------------------- (4x4 + 2x3 + x2 + 5x + 2)/x4 16 +(− x3 + x + 4)/x4 --------------------------- 4 + (2x3 + x2 + 5x + 2)/x4 the 'lesser powers' do not overcome the x4 so they will retain an x under them. anything with an x under it goes to 0 as x to infinity what does this leave us? 16 + 0 ------- 4 + 0

  7. amistre64
    • one year ago
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    the 3 rules are: if the degree of the top is bigger than the bottom, the limit to infinity DNE if the degree of the top is smaller than the bottom, the limit to infinity is 0 if the degree of the top is the same as the bottom, the limit to infinity is the ratio of leading coeffs

  8. anonymous
    • one year ago
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    so the answer is 16+0/4+0????

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