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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: The function f : R → R is defined by f(x) = e(x2+cosx)(1+x4)/(x-sinx)(2x-x3)+e-|x| is

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Question

The function f : R → R is defined by f(x) = `((x^2 + cos x)(1 + x^4))/((x - sin x)(2x - x^3)) + "e"^(-|x|)` is

Options

  • an odd function

  • neither an odd function nor an even function

  • an even function

  • both odd function and even function

MCQ
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Solution

an even function

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Chapter 1: Sets, Relations and Functions - Exercise 1.5 [Page 48]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.5 | Q 25 | Page 48
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