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

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प्रश्न

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

बेरीज

उत्तर

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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Concept of Limits
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differential Calculus - Limits and Continuity - Exercise 9.1 [पृष्ठ ९८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 9 Differential Calculus - Limits and Continuity
Exercise 9.1 | Q 20 | पृष्ठ ९८

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