Question: Consider the function: f(x) = { cos2x , x < - pi 1, x= - pi sinx , -pi < x < pi 6 ,

Consider the function:

f(x) = { cos2x , x < - pi

1, x= - pi

sinx , -pi < x < pi

6 , x >= pi

  1. Sketch the graph of the function. Be sure to include the scale.
  2. In interval notation, please indicate the values of c for which lim f(x) as x -> c exists.
  3. Please indicate the x-value(s) for which f is not continuous.

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