IIT JAM Mathematics 2022 Question 59 | Limits Using Taylor Expansion

In this video, we solve IIT JAM Mathematics 2022 Question 59 step by step in Tamil.

This question is based on evaluating a limit involving e^{f(x)} and e^{g(x)} using Taylor expansion and higher order derivatives, an important topic from Real Analysis for IIT JAM Mathematics and MSc Mathematics entrance exams.

📌 Exam: IIT JAM
📌 Subject: Mathematics
📌 Year: 2022
📌 Question: Q59
📌 Topic: Limits using Taylor Expansion
📌 Language: Tamil

In this video, we carefully use the given values of f(0), g(0) and their derivatives to compare the expansions of e^{f(x)} and e^{g(x)}, and evaluate the limit accurately, rounding the final answer to two decimal places.

This video is useful for:
✔ IIT JAM Mathematics aspirants
✔ MSc Mathematics entrance exam students
✔ Real Analysis preparation
✔ Limits using Taylor series
✔ Higher order derivative problems
✔ Exponential function limits
✔ IITs, NITs, IISc aspirants

👉 Watch till the end to clearly understand how Taylor expansion simplifies complex limit problems in exams.

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Видео IIT JAM Mathematics 2022 Question 59 | Limits Using Taylor Expansion канала DK MathPrep