anonymous
  • anonymous
lim (x^2) / (cos4x - cos9x) as x->0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
what happens when you plug zero into the equation?
anonymous
  • anonymous
Indeterminate form. 0/0
anonymous
  • anonymous
right, so what can we do from here?

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anonymous
  • anonymous
L'Hospital Rule.
anonymous
  • anonymous
right, and what do we get from that?
anonymous
  • anonymous
Nvm. L'Hospital wont work in this situation.
anonymous
  • anonymous
why not?
anonymous
  • anonymous
It is still indeterminate. sin(0)=0
anonymous
  • anonymous
right, so we can do L'Hopitals rule again
anonymous
  • anonymous
True. I forgot about it.
anonymous
  • anonymous
after the second derivative you are left with 2 in the numerator, and cosines in the denominator, so you should be good from there
anonymous
  • anonymous
when you do L'Hopitals rule again rather
anonymous
  • anonymous
Do you have an answer?
anonymous
  • anonymous
yes 0.0307692
anonymous
  • anonymous
yes, 0.030769
anonymous
  • anonymous
also 2/65

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