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MHT CET Maths Model Test 04 — MHT - CET STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMHT - CETMHT CET Maths Model Test 041 Mark
MCQ
If f(x) = `{:{(tan^-1|x|; "when" x ≠ 0), (pi/4; "when" x = 0):}`, then ______
  • A
    f(x) is continuous at x = 0
  • ✓
    f(x) is not continuous at x = 0
  • C
    `lim_{x→0^-}`f(x) x ≠ 0
  • D
    `lim_{x→0^+}`f(x) x ≠ 0
✓

Answer

Correct option: B.
f(x) is not continuous at x = 0
B

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