anonymous
  • anonymous
lim x -> 0 (x-1)/(3sin(x) - cos(x))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
evaluate the limit of the trigonomoteric limit
myininaya
  • myininaya
(0-1)/(3sin(0)-cos(0)) =-1/(3*0-1) =-1/(0-1) =-1/(-1) =1
anonymous
  • anonymous
we cant substitute first

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myininaya
  • myininaya
the function is continuous at x=0 so yes we can
anonymous
  • anonymous
:s ok i guess
anonymous
  • anonymous
so thats not the same as lim x-> 0 2sin (3x)/ 5x which would be equal to 6/5?
myininaya
  • myininaya
this function is discontinuous at x=0 we can manipulate this function though to see what happens as x->0 remember sinx/x->1 as x->0 so 3/3*2sin(3x)/5x=6/5*sin(3x)/3x=6/5*(1) since sin(3x)/3x->1 as x->0
anonymous
  • anonymous
ok thank you i get it
anonymous
  • anonymous
i forgot about continuity

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