Tamil Nadu Board of Secondary EducationHSC Arts Class 11

Choose the correct alternative: It is given that f'(a) exists, then aaaalimx→axf(a)-af(x)x-a is - Mathematics

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MCQ

Choose the correct alternative:

It is given that f'(a) exists, then `lim_(x -> "a") (xf("a") - "a"f(x))/(x - "a")` is

Options

  • f(a) – af'(a)

  • f'(a)

  • – f'(a)

  • f(a) + af'(a)

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Solution

f(a) – af'(a)

Concept: Differentiability and Continuity
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [Page 178]

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 18 | Page 178
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