GATE DA 2024 Set 1 — Question 60
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Calculus & Optimization → Continuity & Differentiability → L'Hôpital's Rule
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Question
Evaluate the following limit:
Correct answer
0.5 to 0.5
Solution
Let .
Using the property :We know that . Setting , the first part is:For the second part, , we have a form. Applying L'Hôpital's rule:Combining the two parts:The limit evaluates to 0.5.
Using the property :We know that . Setting , the first part is:For the second part, , we have a form. Applying L'Hôpital's rule:Combining the two parts:The limit evaluates to 0.5.
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