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UCB - MCD4500 Engineering Mathematics - Trimester 2 - 2025

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is convergent

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is convergent.

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For wich x values, following series converges.

 

 

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Match the Maclaurin Series.

A.  

B.  

C.  

D.  

E.  

F.  

G.

 

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Write down the first degree Taylor polynomial of the function at the point . Expand any brackets and enter your answer in the form "ax+b" without quotation.

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Write down the first four terms of the Maclaurin series of as a cubic in .  

Enter your answer with terms in ascending order, with no spaces, no multiplication symbols, no 0 coefficients and using a "^" to indicate powers. For example your answer should look like "3+x^2-x^3" without the quotes. 

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Write down the first three terms of the Maclaurin series of as a quadratic in .  

Enter your answer with terms in ascending order, with no spaces, no multiplication symbols, no 0 coefficients and using a "^" to indicate powers. For example your answer should look like "3-2x+x^2" without the quotes. 

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The series is 

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