Recent content by jessjolt

  1. J

    Prove limit of (sin2x)/(2x) as x approached 0 is 1?

    Homework Statement Prove limit of (sin2x)/(2x) as x approached 0 is 1. By prove I mean using the epsilon/delta definition of precise limit. You may use the fact that the limit of (sinx)/x as x approaches 0 is 1. attempt: (where E=epsilon and d=delta) |(sin2x)/(2x) - 1| < E if |x|<d...
  2. J

    Integrate using partial fractions (arctan x) / ((x+1)(x^2+1))?

    oohhh ok i see thanks...so there is no way to use partial fractions with transcendental functions like the arctangent?
  3. J

    Integrate using partial fractions (arctan x) / ((x+1)(x^2+1))?

    Integrate using partial fractions (arctan x) / ((x+1)(x^2+1))? My attempt: (arctan x) / ((x+1)(x^2+1)) = A/(x+1) + (Bx+C)/(x^2+1) arctan x = A(x^2+1) + (Bx+C)(x+1) when x= -1, A= -pi/8 so plugging in -pi/8 for B makes: x= tan[ (B-(pi/8))x^2 + (B+C)x + (C-(pi/8)) ] and when x=0, C=...