Can someone help me with this question? I'm thinking the answer is 3000, but I have no logical reasoning for that answer other than the fact that it's a guess (thinking that because of the difference between the two numbers... I don't think it would have any other number besides one particular number and a few zeros.) http://i158.photobucket.com/albums/t120/brinazarski2/q_zps349788d3.png
I also tried graphing it, but graphing doesn't help much since I would have to count all the times the equation crosses the x-intercept, and that's a loooot of counting... I'm assuming there's a faster way
What is that faster way?
Oh... I guess that kinda' makes sense. So the answer is E, then?
Okay!
It has 3536 zero point, so 3300 is fine, but not because it has infinite
the interval is 0.001-0.0001=0.9*10^-4. so the if we check sin(1/x) zeropoints its 1/x=k*Pi, x=1/(k*Pi). if we solve 1/(k*Pi)=0.9*10^-4 equation, we get 3536
What's that formula called? Or what part of math is this? (I'm assuming Pre-Calc, we do different types of math in my class lol)
well its easy, the zero points of sin(x)=0, x=k*Pi, so sin(1/x) has 1/x=k*P. k is an integer, k is the number of zero points
Oh wow, cool. Thank you!
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