5. Define the sequence of functions (f(x)) on R by f(x) = if x = 1,...

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5. Define the sequence of functions (f(x)) on R by f(x) = if x = 1, 1 1 23 10 otherwise and let f(x) be the pointwise limit of this sequence. (a) Is cach fn(x) continuous at 0? Justify your answer. (b) Is f(x) continuous at 0? Justify your answer. 1 n (c) Does fn(x) converge uniformly to f(x)? Justify your answer. 5. Define the sequence of functions (f(x)) on R by f(x) = if x = 1, 1 1 23 10 otherwise and let f(x) be the pointwise limit of this sequence. (a) Is cach fn(x) continuous at 0? Justify your answer. (b) Is f(x) continuous at 0? Justify your answer. 1 n (c) Does fn(x) converge uniformly to f(x)? Justify your answer.

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a Is each fnx continuous at 0 For each n the function fnx is defined piecewise It takes the value of ... View the full answer