[PDF] forme indéterminée 0/0

What is a limit of an indeterminate form 0/0?

In this case, we say we have a limit of an indeterminate form 0/0. The limit of f ( x) / g ( x) in which lim x ? a g ( x) = 0 but lim x ? a f ( x) ? 0 is not indeteminate. We will study such a limit in the Next Section. In this section, we study some strategies to evaluate the limits of the form 0/0.

What is indeterminate form in calculus?

The indeterminate form is particularly common in calculus, because it often arises in the evaluation of derivatives using their definition in terms of limit. (see fig. 1) (see fig. 2) This is enough to show that is an indeterminate form. Other examples with this indeterminate form include (see fig. 3) (see fig. 4)

Is infinity an indeterminate form?

Note that and other expressions involving infinity are not indeterminate forms . The indeterminate form is particularly common in calculus, because it often arises in the evaluation of derivatives using their definition in terms of limit. (see fig. 1) (see fig. 2) This is enough to show that is an indeterminate form.

Which expression is not an indeterminate form?

Similarly, any expression of the form with (including and ) is not an indeterminate form, since a quotient giving rise to such an expression will always diverge. The expression is not an indeterminate form. The expression obtained from considering gives the limit , provided that remains nonnegative as approaches .