List of limits
Encyclopedia
This is a list of limit
s for common function
s. Note that a and b are constants with respect to x.
(L'Hôpital's rule
)
Limit (mathematics)
In mathematics, the concept of a "limit" is used to describe the value that a function or sequence "approaches" as the input or index approaches some value. The concept of limit allows mathematicians to define a new point from a Cauchy sequence of previously defined points within a complete metric...
s for common function
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...
s. Note that a and b are constants with respect to x.
Limits for general functions
(L'Hôpital's ruleL'Hôpital's rule
In calculus, l'Hôpital's rule uses derivatives to help evaluate limits involving indeterminate forms. Application of the rule often converts an indeterminate form to a determinate form, allowing easy evaluation of the limit...
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Limits of general functions
Notable special limits
Simple functions
Logarithmic and exponential functions
Trigonometric functions
Near infinities