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Examples with detailed solutions on how to deal with inderminate forms of limits in calculus. A mathematical expression can also be said to be indeterminate if it is not definitively or precisely determined. Certain forms of limits are said to be indeterminate We say that we have an indeterminate form. May be one of the most important indeterminate form is the quotient of two small (or large) numbers. Recall that a 6 Nov 2013 The phrase “indeterminate form” is used to mean a function that we can't compute the limit of by simply applying some general theorem. An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions. These forms , 0 · ?, 00, ?0, 1?, ??? These are the so called indeterminate forms. One can apply L'Hopital's rule directly to the forms 0. The most common example of an indeterminate form occurs as the ratio of two functions, in which both of these functions tend to zero in the limit, and is referred to as "the indeterminate form 0/0". As x approaches 0, the ratios x/x3, x/x, and x2/x go to ?, 1, and 0 respectively. In the first limit if we plugged in we would get 0/0 and in the second limit if we “plugged” in infinity we would get (recall that as x goes to infinity a polynomial will Lecture 19Section 10.5 Indeterminate Form (0/0) Section. 10.6 Other Indeterminate Forms (?/?), (0 · ?), ···. Jiwen He. 1 Indeterminate Forms. 1.1 Indeterminate
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