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anonymous

  • one year ago

limit as x approaches quantity pi divided by two of quantity three times e to the x times cosine of x. WILL MEDAL!!

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  1. anonymous
    • one year ago
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    @IrishBoy123 Can you help?

  2. anonymous
    • one year ago
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    \[\lim_{x \rightarrow 2}(3e^xcosx)\]

  3. IrishBoy123
    • one year ago
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    quicky, have you plugged in \(x = \pi/2\)? i will latex what i think you are looking at

  4. anonymous
    • one year ago
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    Yes when plugged in the cos(pi/2) = 0 and e^0 = 1, so would the limit then only be 3? or would I multiply 3 x 0 making the limit 0?

  5. IrishBoy123
    • one year ago
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    \(\large lim_{x \rightarrow \ \frac{pi}{2}} \ \ 3e^{x \ cosx}\) ???

  6. IrishBoy123
    • one year ago
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    if so the exponent is \(\pi/2 * 0 = 0\)

  7. anonymous
    • one year ago
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    I have the equation written out above, the cos x isn't part of the exponent.

  8. IrishBoy123
    • one year ago
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    oh sorry, will look at yours

  9. anonymous
    • one year ago
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    \[\lim_{x \rightarrow 2}(3e^2cosx)\] @IrishBoy123

  10. IrishBoy123
    • one year ago
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    \(3 e^{\pi/2} \times 0 = 0\)

  11. anonymous
    • one year ago
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    Oh ok so don't worry about e^pi/2 because the x0 from the cos(pi/2) already makes the entire limit 0?

  12. IrishBoy123
    • one year ago
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    yes

  13. anonymous
    • one year ago
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    Ok thank you so much! You've been a huge help. (:

  14. IrishBoy123
    • one year ago
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    finally, is this it?!?! \[\lim_{x \rightarrow \frac{\pi}{2} } \ 3e^x \ \cos x\]

  15. IrishBoy123
    • one year ago
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    just to be clear...because that will be zero

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