(b) Discuss the uniform convergence and point-wise convergence of following series/sequence (Each step must be justified) Σ 1 n3 + nªx² n=1 • (-V2, v2] fn(x) = 1 – |1 – x²|² defined on

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(b) Discuss the uniform convergence and point-wise convergence of following series/sequence (Each step must
be justified)
Σ
1
n3 + nªx²
n=1
• (-V2, v2]
fn(x) = 1 – |1 – x²|² defined on
Transcribed Image Text:(b) Discuss the uniform convergence and point-wise convergence of following series/sequence (Each step must be justified) Σ 1 n3 + nªx² n=1 • (-V2, v2] fn(x) = 1 – |1 – x²|² defined on
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