Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Limits Continuity and Differentiability question

2024 · 5 Apr · Shift 2 · Q42
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Limits Continuity and Differentiability
  5. /2024 · 5 Apr · Shift 2 · Q42

Limits Continuity and Differentiability question

2024 · 5 Apr · Shift 2 · Q42

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
Let , f:[−1,2]→Rf:[-1,2] \rightarrow \mathbf{R}f:[−1,2]→R be given by f(x)=2x2+x+[x2]−[x]f(x)=2 x^2+x+\left[x^2\right]-[x]f(x)=2x2+x+[x2]−[x], where [t][t][t] denotes the greatest integer less than or equal to ttt. The number of points, where fff is not continuous, is :
  1. A
    5
  2. B
    6
  3. C
    4
  4. D
    3
PreviousNext

More from Limits Continuity and Differentiability

  • Let a>0 be a root of the equation 2x2+x−2=0. If limx→a1​​(1−ax)216(1−cos(2+x−2x2))​=α+β17​, where α,β∈Z, then α+β…2024 · Numerical
  • limn→∞​(13+23+⋯⋯+n3)−(12+22+⋯⋯+n2)(12−1)(n−1)+(22−2)(n−2)+⋯+((n−1)2−(n−1))⋅1​ is equal to :2024 · MCQ
  • Let [t] denote the greatest integer less than or equal to t. Let f:[0,∞)→R be a function defined by f(x)=[2x​+3]−[x​]. Let S be the set of all points in the…2024 · Numerical
  • The value of limx→0​2(x21−cosxcos2x​3cos3x​…….10cos10x​​) is ​.2024 · Numerical
  • For a,b>0, let f(x)={xtan((a+1)x)+btanx​,​x0​ be a continuous function at x=0. Then ab​ is equal to :2024 · MCQ
  • If α=limx→0+​(tanx​−x​etanx​−ex​​) and β=limx→0​(1+sinx)21​cotx are the roots of the quadratic…2024 · Numerical
  • Let f:(0,π)→R be a function given by f(x)=⎩⎨⎧​(78​)tan7xtan8x​,a−8,(1+∣cotx∣)ab​∣tanx∣,​0<x<2π​x=2π​2π​<x<π​…2024 · Numerical
  • limx→0​xe−(1+2x)2x1​​ is equal to2024 · MCQ