What is  equal to?

This question was previously asked in
Agniveer Vayu Science (Group X) 19 Jan 2023 Memory-Based Paper
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Answer (Detailed Solution Below)

Option 2 :
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Detailed Solution

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Concept:

L-Hospital Rule: Let f(x) and g(x) be two functions

Suppose that we have one of the following cases,

I. 

II. 

Then we can apply L-Hospital Rule ⇔ 

Note: We have to differentiate both the numerator and denominator with respect to x unless and until

where l is a finite value. 

Solution:

We have to find the value of 

      Form of limit is (0/0)

Applying L-Hospital rule, 

∴ The correct option is (2)

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