2 Statemens-2: ga) 2 function ) Statement-1 & Sttement 2 e coea t 13 I :R R is a function defined by R, where [x] denotes the is correct explanation 2) Statement- & Statement2 te coren twn is not correct explanation 3) Statement- is true & Statemet-2 is tale 2r-1 4) Sutement-1 is false & Stutemens-2 arue. greatest integer function, then fis 0. 19. Lot f(x)=[x] and glx)= n contunuous for every real x xel 2) discontinuous only at x= 0 . zER-I 3) discontinuous only at non-zero integral values of x 1) g is continuous at x=1 2) f is continuous at x= 2 3) gof is a continuous function 4) continuous only at x = 0 4) fog is a continuous function u JE A2) is continuous and f(%)-%. then 20. Let f(x)= g(x)- (1-cos3x lim where g is a is equal to 3) 0 4) 8/9 continuous function then lim (x) exist if 1) 92 2) 2/9 1) g(x) = x +2 2) g(x) = +4 V2 + cosx -1 (T-x) BU) = xh(x), h(x) is a polynomial 4) g(x) is a constant function 15. If the function f(x)=- k. 21. The function f(x)= (sin 2x) 2 is not defined at x=a/4. The value of f(R/4) so continuous at x=T, then k equals that f is continuous at r=n/4 is 1) 0 2) 3) 2 4) 4) 1) Je 2) 1 3) 2 16. Let f(x)=-1+lx-21, and g(x) = 1-ld; then the set of all points where fog is discontinuous is ) 10,2) 3) (0) 2) (0,1.2) 22. Let f(x) = lim *1+(2 sin x) then f is 4) an empty set discontinuous at 3) n14 4) z/6 2) /3 H. Let f be a composite funciton of x defined by 1) 23. Let f be a function on [0, 1] defined by Ax) = (1/2)", (1/2)s