## Question

###### Let (an)nzl be a sequence of real numbers and suppose that an aeR Let f :AvRbe & function. For each n e N define Jn:A-Rby Jn() = fW)+an: Prove that conve erges uniformly to the function f +aon the set A (For example, fn(x) = e+4 converges uniformly to e on R.)

Let (an)nzl be a sequence of real numbers and suppose that an aeR Let f :AvRbe & function. For each n e N define Jn:A-Rby Jn() = fW)+an: Prove that conve erges uniformly to the function f +aon the set A (For example, fn(x) = e+4 converges uniformly to e on R.)

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