Limits Practice Questions

4. Identify where each of the following graphs 5. Examine the graph. is discontinuous, using limits to support your answer. State whether the discontinuity is a jump, infinite, or removable discontinuity. 14 12 -6 -4 -210 2 4 6 2 4 6 X T2 14 ((x)= 3 x+1 b) the a) State the domain of the function. b) Evaluate each of the following for the graph. -8 -16 -2 4 i) lim x--1'x+1 ii) lim x--Fx+1 () iii) lim rix+1 iv) f (-1) 2 () Is the graph continuous or discontinuous? Justify your answer. -6 -4 -2 0 2 4 6 -26. Examine the given graph. 4 21 2 01 2 4 6 8 10 -2 flay * + 4x - 2 x2 a) State the domain of the function. b) Evaluate each of the following for the graph. i) lim x2 + 4x - 2 ii) lim x2 + 4x - 2 x40 x2 + 4x - 2 iii) lim X-+0 x-2 iv) f(0) () Is the graph continuous or discontinuous? Justify your answer.11. Evaluate each limit, if it exists. (2 + x)2 -16 a) lim I-2 x - 2 c) lim 49 - (5+ x)2 x-+2 x - 2 e) lim X-16 x- 2 x+2 12. Evaluate each limit, if it exists. X- 4 () lim d) lim 1-x -1 3+4x-2 3x 3-x -x+3 e) lim x40 X 13. Evaluate each limit, if it exists. -2x d) lim X-0x-- 4x 2x2-5x - 3 f) lim 1-3 x3- x -6