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 Squeeze Theorem - Calculus   Education The squeeze theorem in Calculus, also known as the pinching theorem or the sandwich theorem deals with the limit of a function. Although, there are existing numerous ways; algebraic, graphical or a combination of both that can be used to find the limit of a function, there are exceptional cases where both techniques are not considered to be the most appropriate method. Such case would include finding the limit of a function defined as the cosine of the reciprocal of any real number, x as the value of x approaches to zero and some other equivalent functions. Algebraically if the value of x be replaced with zero in this function, it might be said that the limit of this function does not exist since the reciprocal of  zero is not defined. In this circumstance, the squeeze theorem can be a vital tool and for many calculus applications involving proof-writing and other mathematical analysis. The squeeze theorem states that at certain x-v...