Prime objective of this article is to Analysis on Evaluating Limits. This article explain limits with proper mathematical examples and theory. Limits of functions are evaluated using many different techniques such as discerning a pattern, simple alternative, or using algebraic simplifications. As the value of each tiny proportion gets slightly larger for each and every term, while the numerator is obviously one less than the actual denominator, the fraction values could possibly get closer and closer to at least one; hence, the limit with the sequence is 1.