anonymous
  • anonymous
limit as x approaches quantity pi divided by two of quantity three times e to the x times cosine of x. WILL MEDAL!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@IrishBoy123 Can you help?
anonymous
  • anonymous
\[\lim_{x \rightarrow 2}(3e^xcosx)\]
IrishBoy123
  • IrishBoy123
quicky, have you plugged in \(x = \pi/2\)? i will latex what i think you are looking at

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anonymous
  • anonymous
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?
IrishBoy123
  • IrishBoy123
\(\large lim_{x \rightarrow \ \frac{pi}{2}} \ \ 3e^{x \ cosx}\) ???
IrishBoy123
  • IrishBoy123
if so the exponent is \(\pi/2 * 0 = 0\)
anonymous
  • anonymous
I have the equation written out above, the cos x isn't part of the exponent.
IrishBoy123
  • IrishBoy123
oh sorry, will look at yours
anonymous
  • anonymous
\[\lim_{x \rightarrow 2}(3e^2cosx)\] @IrishBoy123
IrishBoy123
  • IrishBoy123
\(3 e^{\pi/2} \times 0 = 0\)
anonymous
  • anonymous
Oh ok so don't worry about e^pi/2 because the x0 from the cos(pi/2) already makes the entire limit 0?
IrishBoy123
  • IrishBoy123
yes
anonymous
  • anonymous
Ok thank you so much! You've been a huge help. (:
IrishBoy123
  • IrishBoy123
finally, is this it?!?! \[\lim_{x \rightarrow \frac{\pi}{2} } \ 3e^x \ \cos x\]
IrishBoy123
  • IrishBoy123
just to be clear...because that will be zero

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