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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: Let the function f be defined by f(x)={3x0≤x≤1-3+51<x≤2, then - Mathematics

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Question

Choose the correct alternative:

Let the function f be defined by `f(x) = {{:(3x, 0 ≤ x ≤ 1),(-3 + 5, 1 < x ≤ 2):}`, then

Options

  • `lim_(x -> 1) f(x)` = 1

  • `lim_(x -> 1) f(x)` = 3

  • `lim_(x -> 1) f(x)` = 2

  • `lim_(x -> 1) f(x)` does not exist

MCQ

Solution

`lim_(x -> 1) f(x)` does not exist

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Continuity
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Chapter 9: Differential Calculus - Limits and Continuity - Exercise 9.6 [Page 130]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Differential Calculus - Limits and Continuity
Exercise 9.6 | Q 11 | Page 130

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