Home
Class 11
MATHS
If ("lim")(xto1^-)(2-x+a[x-1]+b[1+x]) ex...

If `("lim")_(xto1^-)(2-x+a[x-1]+b[1+x])` exists, then `aa n db` can take the values of (where [.] denotes the greatest integer function). (a)`a=1/3,b=1` (b) `a=1, b=-1` (c) `a=9, b=-9` (d)`a=2, b=2/3`

Promotional Banner

Similar Questions

Explore conceptually related problems

(lim)_(xvec(-1^)/3)1/x[(-1)/x]= (where [.] denotes the greatest integer function) a. -9 b. -12 c. -6 d. 0

lim_(x-(pi)/(2)) [([sinx]-[cosx]+1)/(3)]= (where [.] denotes the greatest integer integer function)

T h ev a l u eofint_(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes the greatest integer function, is 1 (b) 1//2 (c) 2 (d) none of these

The range of f(x)=[|sin x|+|cosx"|""]"dot Where [.] denotes the greatest integer function, is {0} (b) {0,1} (c) {1} (d) none of these

Number of points of discontinuity of f(x)=[sin^(-1)x]-[x] in its domain is equal to (where [.] denotes the greatest integer function) a. 0 b. 1 c. 2 d. 3

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a) -1 (b) 1 (c) 0 (d) does not exist

The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (where [.] represents the greatest integer function). -1 (b) 1 (c) 0 (d) none of these

lim_(xto0^(+)) (sum_(r=1)^(2n+1)[x^(r)]+(n+1))/(1+[x]+|x|+2x), where ninN and [.] denotes the greatest integer function, equals

If [dot] denotes the greatest integer function, then (lim)_(xvec0)x/a[b/x] b/a b. 0 c. a/b d. does not exist

lim_(xto1) [cosec(pix)/(2)]^(1//(1-x)) (where [.] represents the greatest integer function) is equal to