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

2012 · Shift 0 · Q25
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. /2012 · Shift 0 · Q25

Limits Continuity and Differentiability question

2012 · Shift 0 · Q25

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
If f:R→Rf:R \to Rf:R→R is a function defined by f(x)=[x]cos⁡(2x−12)πf\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)\pif(x)=[x]cos(22x−1​)π, where [x] denotes the greatest integer function, then fff is
  1. A
    continuous for every real xxx
  2. B
    discontinuous only at x=0x=0x=0
  3. C
    discontinuous only at non-zero integral values of xxx
  4. D
    continuous only at x=0x=0x=0
PreviousNext

More from Limits Continuity and Differentiability

  • Consider the function, f(x)=∣x−2∣+∣x−5∣,x∈R Statement - 1 : f′(4)=0 Statement - 2 : f is continuous in [2, 5], differentiable in (2, 5) and f(2) = f(5)2012 · MCQ
  • The value of p and q for which the function f(x)=⎩⎨⎧​xsin(p+1)x+sinx​qx3/2x+x2​−x​​​,x<0,x=0,x>0​…2011 · MCQ
  • x→2lim​(x−21−cos{2(x−2)}​​)2011 · MCQ
  • Let f:R→R be a positive increasing function with x→∞lim​f(x)f(3x)​=1. Then x→∞lim​f(x)f(2x)​=2010 · MCQ
  • Let f(x)=x∣x∣ and g(x)=sinx. Statement-1: gof is differentiable at x=0 and its derivative is continuous at that point. Statement-2: gof is twice differentiable at x=0.2009 · MCQ
  • Let f(x)={(x−1)sinx−11​0​ifxe1ifx=1​ Then which one of the following is true?2008 · MCQ
  • The function f:R/{0}→R given by f(x)=x1​−e2x−12​ can be made continuous at x= 0 by defining f(0) as2007 · MCQ
  • Let f:R→R be a function defined by f(x)=min{x+1,∣x∣+1}, then which of the following is true?2007 · MCQ