Determining discontinuity property

Reference no: EM13122374

Please show all work.

Problem 1:

Prove that if f is continuous at all values of x then so is kf where k is a constant.

Problem 2:

Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values. Prove the discontinuity property of your function (i.e. that it is discontinuous at all integer values).

Reference no: EM13122374

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