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real analysis - Question about proof: Uniform cauchy $\Rightarrow$ Uniform convergence - Mathematics Stack Exchange
Which of the following sequences of functions is uniformly convergent on (0, 1)?a)1/(nx + 1)b)xnc)n/(nx + 1)d)x/(nx + 1)Correct answer is option 'D'. Can you explain this answer? - EduRev Mathematics Question
![SOLUTION: Sequence of functions, pointwise convergence, uniform convergence, + Related Examples - Studypool SOLUTION: Sequence of functions, pointwise convergence, uniform convergence, + Related Examples - Studypool](https://sp-uploads.s3.amazonaws.com/uploads/services/6126409/20230112162712_63c034e0e6318_sequence_of_functions_pointwise_convergence_uniform_convergencepage0.jpg)
SOLUTION: Sequence of functions, pointwise convergence, uniform convergence, + Related Examples - Studypool
![real analysis - Show that the sequence of functions converges point-wise but no uniformly - Mathematics Stack Exchange real analysis - Show that the sequence of functions converges point-wise but no uniformly - Mathematics Stack Exchange](https://i.stack.imgur.com/MZIuR.jpg)