Let T be a continuity function on [1.3)W MATIC 6. takes only rational values for 'x and 2) CONTINUITY then 1.5) = EXERCISE II 1) 8 f1)+(3) 2) for 1. Let a function / defined by x) 3) 20 2. A) 10 7. J) is a continuous function satistyin *0 and RO) -2. then f is 1) continuous no where and A)>0, the 2) continuous every where 3) continuous for all x. except at x1 LI f) is equal to 4) continuous for all x. except at x= 0 1) 2 2) I x) = lel+lr-11 is continuous at 3) 3 2. ) = a [x+1] + b lx-1] is continuous at 8. *= 1, here (x) denotes greastest integer function then 1) 0 only 2) 0,1 only 2) a-b = 0 3) Every where The function fux)=l 2sgn2x +2 has 1) jump discontinuity 2) Removal discontinuity 3) Infinitediscontinuity 4) No discontinuity at x=0 1) a +b=0 4) No where 3) 2a-b = 0 4) a-2h = 0 9. 3. Let f(x)= I+acos.x) - bsin and RO) = 1. then values if 'a' and b' so that f is continuous are RS. 10. Ax) = [x-5) + 15-x] here [x] denotes greates integer function, is continuous on 1) 5. 3 3)7 3. 1) R 2) Z 3) R-Z 4) N 4) 11. If [x] denotes the greatest intager not Sin[x] a+ EDUCATION MA exceeding x and if the fuction f defind b *>0 a+2cosx f(x) ={2 where [.1 Sinx -x b+ f(x) = btan x20 is continous atx denotes the greatest integer function. If Ax) is = 0 then (a, b) = %3! continuous at r=0 then b= 1) (- 2, 1) 2) (-2, -1) 1) a-1 2) a + 1 3) a + 2 4) a-2 3) (-1, 3) 4) (-2, 3) The set of points of discontinuity of the (2 sin x)" 12. The values of p and q for which the function function S(x) = Lt - 3" - (2 cos.x) sin(p +1)x+sin x 1) {nn/neZ} 2) {nn tn/6/neZ} 3) {nn tR/2/nez} 4) {nx tx/3/neZ} f(x) =4 X = 0 is Vx+x -Vx 3/2 continuous for all x in R, are: