11th Mathematics Appendix 1
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– Introduction to Infinite Series: Explains the concept of infinite sequences and series, including the sigma notation for the sum of terms, which is useful for different problem scenarios【4:0†source】.
– Binomial Theorem for any Index: Introduces the Binomial Theorem with a more general form for indices that are not necessarily whole numbers, leading to Binomial Series and examples of its applications【4:0†source】.
– Infinite Geometric Series: Discusses geometric progressions (G.P.) and provides the formula to find the sum of an infinite geometric series, along with an illustrative example【4:1†source】.
– Logarithmic Series: Introduces the logarithmic series in the form of an infinite series, giving a theorem for its expansion and providing an example for application【4:3†source】.
What is the series denoted by the number e in the material?
Why is it necessary that |x| < 1 in certain cases when using the Binomial Theorem?
Explain the condition for the validity of the expansion of log_e(1+x), as mentioned in the material.
What is the value range for e^2 estimated in the material?
In the exponential series, what is the coefficient of x^2 in the expansion of e^(2x+3) as a series in powers of x?
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