Consider the following in respect of the function f(x)=\{\table2+x\text{,},x \geq 0;2-x\text{,},x < 0 1. \text{lim}_{x\to1}f(x) does not exist. 2. f(x) is differentiable at x=0 3. f(x) is continuous at x=0 Which of the above statements is/are correct? [NDA II 2016]

Correct Answer is : 1 and 3 only

NDA Math Limit, Continuity and Differentiability

Question : 55 of 105

Marks: +1, -0

Consider the following in respect of the function
f(x)={

2+x,	x≥0
2−x,	x<0

lim

x→1

f(x) does not exist.
2. f(x) is differentiable at x=0
3. f(x) is continuous at x=0
Which of the above statements is/are correct?

[NDA II 2016]

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