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

2017 · Shift 0 · Q43
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. /2017 · Shift 0 · Q43

Limits Continuity and Differentiability question

2017 · Shift 0 · Q43

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
lim⁡x→π2cot⁡x−cos⁡x(π−2x)3\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\cot x - \cos x} \over {{{\left( {\pi - 2x} \right)}^3}}}x→2π​lim​(π−2x)3cotx−cosx​ equals
  1. A
    116{1 \over {16}}161​
  2. B
    18{1 \over 8}81​
  3. C
    14{1 \over {4}}41​
  4. D
    124{1 \over {24}}241​
PreviousNext

More from Limits Continuity and Differentiability

  • If the function f(x) = {−xa+cos−1(x+b),​x<11≤x≤2​ is differentiable at x = 1, then ba​ is equal to :2016 · MCQ
  • If x→∞lim​(1+xa​−x24​)2x=e3, then 'a' is equal to :2016 · MCQ
  • Let a, b ∈ R, (a e 0). If the function f defined as f(x)=⎩⎨⎧​a2x2​,a,x32b2−4b​,​0≤x<11≤x<2​2​≤x<∞​…2016 · MCQ
  • x→0lim​2xtanx−xtan2x(1−cos2x)2​ is :2016 · MCQ
  • For x∈R,f(x)=∣log2−sinx∣ and g(x)=f(f(x)), then :2016 · MCQ
  • Let p=x→0+lim​(1+tan2x​)2x1​ then logp is equal to :2016 · MCQ
  • If the function. g(x)={kx+1​,mx+2,​0≤x≤33<x≤5​ is differentiable, then the value of k+m is :2015 · MCQ
  • x→0lim​xtan4x(1−cos2x)(3+cosx)​ is equal to2015 · MCQ