Question: Thm: let f be a real valued function with dom (f) = IR. If f is continuous at x 0 in dom (f) then Ifl

  1. Thm: let f be a real valued function with dom (f) = IR. If f is continuous at x0 in dom (f) then Ifl is also continuous at x0 ?
  2. Thm - Let f be a real valued function with dom (f)=R If f is continuous at re, in dom (f) then KF is also continuous at x0 ?
  3. Thm - Let f & g be real valued functions that are continuous at   x0 in IR. Then 1) f+g is continuous at x0

    ?) FG is continuous at x0

    ?) f/g is continuous at & if g (x0) ? 0
  4. Let f(x)={1}÷{x} ×sin({1}÷{x2}) for x ? 0; f(0)=0 ?
  5. Let f(x)=2X2+1 for x=IR Prove that f is continuous on IR by using ....?
  6. Let f(x)=x2sin({1}÷{x}) for x?0 f f(0)=0 Prove that f is  continuous at 0 ?


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