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  - Johann discovered the "l'hospital's rule", it circumvents common indeterminate forms when computing limits 

Mathematical Research

- real world applications of l'hospital's rule include

1. calculating  continuous compound interest rates

2. the gamma function  

- In addition to "L'hospital's" rule , Johann derived the Brachistochrone curve 
The Brachistochrone problem was named by Galileo in 1638  and is a combination of two Greek words: “brachistos”, meaning short, and “chronikos” meaning “time.” At the time Galileo was under the incorrect impression that the solution to the problem was the arc of a circle, Johann solved the problem. 
In conclusion, Johann was instrumental for future mathematicians, and help cleared the way. By creating "L'hospital's" rule, it made things easier for other mathematicians. In addition to ""L'Hospital's" Johann also derived the Brachiatochrone curve. He was overall gifted in the field of math. Unfortunately his greatest achievement was stolen by one of his own student. 

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