Calendar X Microsoft Word - C x > Tutorial Sheet 2.pd x | > Tutorial Sheet 2 (sc x | f (2) Facebook * *Course Hero x | Find The Limit Of T x Sy derivative of (3(-ta x G math - Tim tren Gc X X) Mathway | Chuong x |+ X A swinburne.instructure.com/calendar#view_name=month&view_start=2022-04-12 EXAOR ... 789.vn - Truong ho. f (1) Facebook Ill Khach san tai Vung.. Vat li 1 - Tai Lieu Ba. Swinbure Universit... ( Lab 1 Online labora.. By (x^2+8x)(dy)/(dx)=... of 7 - ZOOM + (b) Evaluate lim f(x) or explain why it does not exist. (c) For what value(s) (if any) of b does lim f (x) exist? Explain. (3+ 3 + 4 = 10 marks) Q2. It is required to prove (by induction) that a certain property P(n) is true for all n E N. Suppose that P(1) has been shown to be true. Clearly and precisely explain what else needs to be done in order to prove (by induction) that P(n) is true for all n E N. (4 marks) Q3. Using the Sandwich Theorem for Sequences, find lim 21-cos(6n) n-o na (13 marks) Q4. Using the indicated substitution (see below), rewrite the following limit as a limit in terms of the new variable y . Then use (as necessary) algebra, limit laws and the Standard Limits for Functions to evaluate the limit. You do not have to state which limit laws you use. lim (V5x+1-1)2 8x2 Use y = 5x. x -0 (13 marks) GDF Cover_sheet_for_s..pdf Show all X 60.F Mostly cloudy ~ O ENG ( 6:53 PM 4/12/2022