Maharashtra State BoardHSC Arts 12th Board Exam
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If 1 ( ) (1 2 ) , Xf X X   for 0 X is Continuous at 0, X Then (0) F  _______ - Mathematics and Statistics

MCQ

If f(x) = `(1+2"x")^(1/"x)"` for x≠0 is continuous at x = 0 then f(0) =  _______.

Options

  • e

  • e2

  • 0

  • 2

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Solution

e2

`"f"(0) = lim_("x" ->0)[(1+2"x")^(1/(2"x"))]^2`  = e2  

Concept: Introduction of Continuity
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