Comprehension

निम्न दो (02) प्रश्नों के लिए निम्नलिखित पर विचार कीजिए:  

किसके बराबर है?

This question was previously asked in
NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 2
  2. 1
  3. 0
  4. सीमा का अस्तित्व नहीं है। 

Answer (Detailed Solution Below)

Option 3 : 0
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UPSC NDA 01/2025 General Ability Full (GAT) Full Mock Test
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गणना:

दिया गया है,

फलन इस प्रकार परिभाषित है:

हमें यह ज्ञात करना है:

|x| < 1 के लिए, फलन f(x) = x3 है, इसलिए अवकलज है:

अब, x के 0 तक पहुँचने पर अवकलज की सीमा की गणना करें:

∴  का मान 0 है।

सही उत्तर विकल्प (c) है

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