2 (a) () Page 3 of 11 Using the power series expansion for exp(-x) or otherwise, find the first 3 non-zero terms in the power series expansion of exp(-2x¹). Remember that exp(-x) is the same as e Module code: CAPE200001 (ii) Use the power series from (i) to find the limit of (ii) Calculate lim 140 1-exp(-2x²) Turn the page over 1-2r²-exp(-2r²) using l'Hôpital's rule. as x-0.

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