Recent content by ilhamGD

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    Examine the continuity of tan(pi/x)

    So P is not continuous on 0 and 2/2k+1 right ??
  2. I

    Examine the continuity of tan(pi/x)

    Homework Statement Examine the continuity of P: x -----> tan(Pi/x) 2. The attempt at a solution: I considered fog with f=tan(x) and g=Pi/x But the problem I have is with the domain of definition can someone please help !
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    Find the value of a and b for which the function is continuous at 2

    It means that a=1, and after using the formula for A^n-B^n the limit when x< 2 becomes -(2^n-1+2^n-2+...+1) which is -2^(n-2) and then I can find b which is -2^(n-1)/3 can u tell me if that is correct ? and should I also find f(2)?
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    Find the value of a and b for which the function is continuous at 2

    Homework Statement u(x) = \begin{cases} \frac{3x+b}{4} & \text{if } x \geq 2 \\ \frac{(3-x)^n-a}{x-2} & \text{if } x < 2 \end{cases} find the value of a and b for which the function is continuous at 2 The Attempt at a Solution I tried to proof that lim(3x+b)/4 = lim (3-x)^n-a/x-2 = f(2)...