anonymous
  • anonymous
prove that arctan(x)=1-x has at least one root
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
it is continuous for sure, so show that it is negative somewhere and positive somewhere else. try say \[-\frac{\pi}{4}\] and \[\frac{\pi}{3}\] so make your life easy
Rogue
  • Rogue
That's utilizing the intermediate value theorem right?
anonymous
  • anonymous
Yes

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