Mathematical Induction And Binomial Tehorem

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Math Part-I Chapter-VIII "Mathematical Induction And Binomial Theorem"

Following are the key points that should be kept in mind while preparing this chapter in perspective of Entrance test of Universities.

• Statements can be asked in mathematical Induction section as follows : n!<3n for what values of 'n'? and the answer is "n>=3". 
• Properties of Binomial Expansion , Middle term and Important deductions.
• You should be very fast in finding any term in the expansion of any binomial using 'r+1'th term formula.
• Read out results at page:275.
• There are two applications of Biniomial Expansion : 1-Summation of Infinite Series.2-Approximations.
• Remember that Binomial series expansion of expression '(1+nx)^b' is valid only iff "|nx|<1".