QUESTION 3 3.1 Determine the following limits: 3.1.1 lim x0x²-1 cos.x - 1 3.1.2 lim x0 2sin.x Differentiate the following with respect to x: 3.2.1 y=x* tan 3x. 3.2.2 y = ln (2x²+1). (2) et +1 3.2.3 y = Simplify your answer. (4) et 3.3 The period T of a simple pendulum of length 1 is given by T = 2n₁| √ dT where g is a constant called the acceleration due to gravity. Find (3) dl 3.4 Find the turning points of the function y=x*-8x² +16 and determine their nature. (8) 3.2 (2) (3) MAT1581 May/June 2022 (2) [Page down] [24]
