मान लीजिए f(x) =  है। तो का मान क्या है?

  1. -1/27
  2. 0
  3. 1/27
  4. 1

Answer (Detailed Solution Below)

Option 3 : 1/27
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संकल्पना:

L - हॉस्पिटल नियम: माना कि f(x) और g(x) दो फलन है। 

माना कि हमारे पास निम्नलिखित स्थितियों में से एक स्थिति निम्न है,

I. 

II. 

तो हम L - हॉस्पिटल नियम लागू कर सकते हैं ⇔

 

गणना:

दिया गया फलन f(x) =   है। 

इसलिए, f(1) =  = 1/3

x = 1 रखने पर, 0/0 रूप प्रदान करता है। 

L - हॉस्पिटल नियम लागू करने पर,

अतः विकल्प (3) सही है।   

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