Question: Dear expert, please solve this question with a clear and correct answer. Thank you with much appreciated Question 2 (25 marks) a) Find the center,

Dear expert, please solve this question with a clear and correct answer. Thank you with much appreciated

Dear expert, please solve this question with a clear and correct answer.

Question 2 (25 marks) a) Find the center, radius and interval of convergent for following power series: n=01+n31(x+3)n [7 marks ] b) Find the radius and interval of convergent of power series n=04n+1n(x+3)n. [7 marks] c) Find the Maclaurin series for ex. [5 marks] d) Find the first four terms of Taylor series for cosx at x=3. [6 marks]

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