## Quick Reference

Suppose that *f*(*x*) → 0 and *g*(*x*) → 0 as *x* → *a*. Then the limit of the quotient *f*(*x*)/*g*(*x*) as *x* → *a* is said to give an indeterminate form, sometimes denoted by 0/0. It may be that the limit of *f*(*x*)/*g*(*x*) can nevertheless be found by some method such as l'Hôpital's rule.

Similarly, if *f*(*x*) → ∞ and *g*(*x*) → ∞ as *x* → *a*, then the limit of *f*(*x*)/*g*(*x*) gives an indeterminate form, denoted by ∞/∞. Also, if *f*(*x*) → 0 and *g*(*x*) → ∞ as *x* → *a*, then the limit of the product *f*(*x*)*g*(*x*) gives an indeterminate form 0×∞.

*Subjects:*
Mathematics.