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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Continuity and Differentiability

NDA 2014 · Mathematics · Continuity and Differentiability

Consider the function f(x)=\ aligned x^2-5, & x ≤ 3 x+13 , & x > 3...

Consider the function f(x)=\left\{x2−5,x≤3x+13,x>3\begin{aligned} x^2-5, & x \leq 3 \\ \sqrt{x+13}, & x > 3\end{aligned}\right. Consider the following statements: 1. The function is discontinuous at x=3x=3. 2. The function is not differentiable at x=0x=0. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

The correct answer is option(D)
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