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Tamil Nadu Board of Secondary EducationHSC Science Class 11

If f(2) = 4, can you conclude anything about the limit of f(x) as x approaches 2?

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Question

If f(2) = 4, can you conclude anything about the limit of f(x) as x approaches 2?

Sum
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Solution

No, f(x) = 4, It is the value of the function at x = 2

This limit doesn’t exists at x = 2

Since f(2) = 4

It need not imply that `lim_(x -> 2^-) f(x) = lim_(x -> 2^+) f(x)`

∴ We cannot conclude at x = 2

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Chapter 9: Differential Calculus - Limits and Continuity - Exercise 9.1 [Page 98]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Differential Calculus - Limits and Continuity
Exercise 9.1 | Q 20 | Page 98

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