Determine the values of n and h required to approximate e²x sin² (3x) dx to within 10-4 using (a) Composite Trapezoidal rule (b) Composite Simpson's rule

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Q: Determine whether the following series converge. 1+ 3k 1+2k (1) Σ k=1 (2) Σ k=1 (−1)k 2k + k

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