"1. Prove by the epsilon-delta definition of continuity that cos(x) is continuous for an c in reals.

2. Prove that the equation e^x=cos(x) has two solutions in the interval [-pi/2,0]"

3. Find a function f: R->R that is discontinuous at everal real number, but f^2 is continuous on R

2. Prove that the equation e^x=cos(x) has two solutions in the interval [-pi/2,0]"

3. Find a function f: R->R that is discontinuous at everal real number, but f^2 is continuous on R

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