1. Find the limits of the functions below 5x (a) b) d) g) lim X-0 x7...

   

Transcribed Image Text:

1. Find the limits of the functions below 5x (a) b) d) g) lim X-0 x7 2 lim X-2x+2 e) lim f(x)if f(x) = X-3 6 lim x-0 x-3 5x7 lim x-00x4-3 x + 2, if {x+ 5, if c) f) x < 3) x 3 ) lim (x-1) (3 marks) 8118 7-3x 1-0 4752273 lim (6 marks) (3 marks) 2. Find the indicated limits. a) d) f(x)= = lim f(x) lim f(x) X-X (x +2, (2x + 1, if x 1) if x > 1) b) lim f(x) e) lim f(x) X--X c) lim f(x) (5 marks) 3. Investigate the functions below for continuity. If it is discontinuous, state clearly WHY the discontinuity exists and identify the type of discontinuity. (a) (b) (b) f(x) = (x+2, for x 21 x for x>2 f(x) = f(x) = { 7 (x -3 for x < 2) x = (7+1 for x > 2) (x + 3 for x 1) 5x - 3 for x > 1) (10 marks) 1. Find the limits of the functions below 5x (a) b) d) g) lim X-0 x7 2 lim X-2x+2 e) lim f(x)if f(x) = X-3 6 lim x-0 x-3 5x7 lim x-00x4-3 x + 2, if {x+ 5, if c) f) x < 3) x 3 ) lim (x-1) (3 marks) 8118 7-3x 1-0 4752273 lim (6 marks) (3 marks) 2. Find the indicated limits. a) d) f(x)= = lim f(x) lim f(x) X-X (x +2, (2x + 1, if x 1) if x > 1) b) lim f(x) e) lim f(x) X--X c) lim f(x) (5 marks) 3. Investigate the functions below for continuity. If it is discontinuous, state clearly WHY the discontinuity exists and identify the type of discontinuity. (a) (b) (b) f(x) = (x+2, for x 21 x for x>2 f(x) = f(x) = { 7 (x -3 for x < 2) x = (7+1 for x > 2) (x + 3 for x 1) 5x - 3 for x > 1) (10 marks)