1 of 2 online.mun.ca Show all the steps. Please write on only one side of the paper. Late assign- ments will not be graded. 1. Limits. (a) Find the following limits if they exist. If they do no exist, but approach too, indicate this. tan (5x) 2-0 sin(6x) i. lim. ii. lim 3x sin(5x) 2-0 sin(4x) sin(7x) sin (sin(0)) 0-0 cosec(0) 2. Continuity sin(x-2) 22x-3x+2 iv. lim 2x + 4x + 6 2- 5x7x + 2x+5 - V. lim vi. lim 3r+10 2r3-14r +15 (b) Find the horizontal asymptotes of the following function: f(x) 6x +1 x+4x+5 1 of 2 (a) Determine if the following functions are continuous at the given point. If discontinu- ous, explain why. i. at x = 2 ii. f(x)=tan(2x) at x = x cos() x+2x-8 x-2 iii. f(x)= f(x) = 0 cos () for x 0 for ( online.mun.ca for 20 iv. f(x)= 0 for a=0 (b) Is there a constant c, such that the function sin () for a 0 { for = 0 is continuous? If so, find it; if not, say why. I at 0 at = 0