User contributions for NicholasHu

Search for contributionsExpandCollapse
⧼contribs-top⧽
⧼contribs-date⧽
(newest | oldest) View (newer 50 | ) (20 | 50 | 100 | 250 | 500)

24 April 2024

22 April 2024

21 April 2024

18 April 2024

15 April 2024

17 December 2023

  • 06:1306:13, 17 December 2023 diff hist +546 N Science:Math Exam Resources/Courses/MATH100/December 2016/Question 13 (a)/Solution 2Created page with "We know (or can calculate) that the Taylor expansion of <math>\sin(x)</math> centred at <math>x = 0</math> is :<math> \sin(x) = x - \frac{x^3}{3!} + \cdots. </math> Hence the Taylor expansion of <math>f(x) = (x+1) \sin(x)</math> centred at <math>x = 0</math> is :<math> (x+1)\sin(x) = (x+1)\left(x - \frac{x^3}{3!} + \cdots\right) = x^2 - \frac{x^4}{3!} + x - \frac{x^3}{3!} + \cdots. </math> Discarding the terms of degree higher than 3, we obtain the third degree Taylor po..." current

15 December 2023

14 December 2023

12 December 2023

15 August 2023

28 June 2023

25 April 2023

20 April 2023

14 December 2022

13 December 2022

(newest | oldest) View (newer 50 | ) (20 | 50 | 100 | 250 | 500)