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1993

JEE Main 1993 Mathematics question on Limits Continuity and Differentiability

Let [.][.] denotes the greatest integer function and f(x)=[tan⁡2x]f(x) = [\tan^2 x], then
  1. A.
    lim⁡x→0f(x)\lim_{x \to 0} f(x) does not exist
  2. B.
    f(x)f(x) is continuous at x=0x = 0
  3. C.
    f(x)f(x) is not differentiable at x=0x = 0
  4. D.
    f′(0)=1f'(0) = 1
Show answer

Correct option: B

[1993]

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