\[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.\,lo{{g}_{6}}5....{{\log }_{100}}99\]\[=\_\_\_\_\_.\]

\[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.

1.	\[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.\,lo{{g}_{6}}5....{{\log }_{100}}99\]\[=\_\_\_\_\_.\]
A.	\[\infty \]
B.	0
C.	1
D.	Cannot be determined
Answer» C. 1

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\[{{\log }_{2}}1.\,{{\log }_{3}}2.\,{{\log }_{4}}3\,.\,lo{{g}_{5}}4\,.\,lo{{g}_{6}}5....{{\log }_{100}}99\]\[=\_\_\_\_\_.\]

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