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12

Deeper and Deeper—More Induction

Lecture no. 12 from the course: Prove It: The Art of Mathematical Argument

Deeper and Deeper—More Induction

Taught by Professor Bruce H. Edwards | 31 min | Categories: The Great Courses Plus Online Mathematics Courses

What does the decimal 0.99999… forever equal? Is it less than 1? Or does it equal 1? Apply mathematical induction to geometric series to find the solution. Also use induction to find the formulas for other series, including factorials, which are denoted by an integer followed by the “!” sign.

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