Prime DSE Series - Mathematics Mock Exam Papers (Extended Part) Module 1 Set3

HKDSE-MATH-EP(M1)(Set 3) − 6 6 © United Prime Educational Publishing (HK) Ltd. Answers written in the margins will not be marked. Answers written in the margins will not be marked. Answers written in the margins will not be marked. 5. (a) Expand 4 x e − in ascending powers of x as far as the term in x 2 . (b) Let n be a positive integer and m be a constant. If the coefficients of x and x 2 in the expansion of 4 (1 ) n x mx e + are 73 4 − and 4465 32 respectively, find the values of m and n . (6 marks) Sample © United Prime Educational Publishing (HK) Limited 2025 All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publisher.

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