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Tricky limits

  1. Jan 22, 2007 #1
    If f and g are continuous functions with f(4)=1 and lim x-> 4 (6fx - gx)= 1 find g(4)

    i cam rewrite this as lim x-> 4 (6f) - lim x-> 4 gx =1

    so i know that fx is defined at 4 so it has a limit and that by direct substution the limit of fx= 1

    so if i replace 1 with the lim of fx i have 1- lim x-> 4 gx=1

    and by using direct subustion again i can find g(4) which is the limit of gx

    i solve and get 5/4 for the lim of gx which should be g(4) but that is not right

    can someone please tell me where i am going wrong?
  2. jcsd
  3. Jan 22, 2007 #2
    How did you get 5/4?
  4. Jan 22, 2007 #3
    n/m i just noticed what i was doing wrong
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