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Hello aspirant,
Yes, logarithmic expansion and exponential series comes under the syllabus of jee mains.
For the whole syllabus of mathematics of jee mains please visit this link.
https://engineering.careers360.com/articles/jee-main-mathematics-syllabus
For jee mains sample paper please visit this link.
https://engineering.careers360.com/articles/jee-main-sample-papers
Hope this helps you
Feel free to ask any questions
All the best for your future
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