फलन (f(x)=\frac{1}{|x|+1}) का परिसर कौन सा है?

Which is the range of (f(x)=\frac{1}{|x|+1})?

Explanation opens after your attempt
Correct Answer

A. ((0,1])

Step 1

Concept

Since \(|x|+1\ge 1\), (0<f(x)\le 1). The value (0) is only a limiting value and is not attained.

Step 2

Why this answer is correct

The correct answer is A. ((0,1]). Since \(|x|+1\ge 1\), (0<f(x)\le 1). The value (0) is only a limiting value and is not attained.

Step 3

Exam Tip

क्योंकि \(|x|+1\ge 1\), इसलिए (0<f(x)\le 1)। (0) केवल सीमा मान है, प्राप्त नहीं होता।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\frac{1}{|x|+1}) का परिसर कौन सा है? / Which is the range of (f(x)=\frac{1}{|x|+1})?

Correct Answer: A. ((0,1]). Explanation: क्योंकि \(|x|+1\ge 1\), इसलिए (0<f(x)\le 1)। (0) केवल सीमा मान है, प्राप्त नहीं होता। / Since \(|x|+1\ge 1\), (0<f(x)\le 1). The value (0) is only a limiting value and is not attained.

Which concept should I revise for this Mathematics MCQ?

Since \(|x|+1\ge 1\), (0<f(x)\le 1). The value (0) is only a limiting value and is not attained.

What exam hint can help solve this Mathematics question?

क्योंकि \(|x|+1\ge 1\), इसलिए (0<f(x)\le 1)। (0) केवल सीमा मान है, प्राप्त नहीं होता।