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Limits Continuity and Differentiability · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper
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Limits Continuity and Differentiability · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

  1. Q44.If the function f(x)=x3sin3x+αsinx−βcos3x​,x∈R, is continuous at x=0, then f(0) is equal to :
    Mathematics · Limits Continuity and Differentiability · MCQ
  2. Q55.Let f be a differentiable function in the interval (0,∞) such that f(1)=1 and limt→x​t−xt2f(x)−x2f(t)​=1 for each x>0. Then 2f(2)+3f(3) is equal to ​.
    Mathematics · Limits Continuity and Differentiability · Numerical