# Limits calculation formulas

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## The limit of the constant equals to this constant:

( - constant)

## The limit of the sum equals to the sum of the limits:

## The limit of the difference equals to the difference of the limits:

## The limit of the multiplication equals to the multiplication of the limits:

## The limit of the division equals to the division of the limits:

if the condition ≠ 0 is hold

## The power function limit:

( - natural number)

## The root function limit:

( - natural number)

## The main limits

### The first wonderful limit:

( - angle in radians)

### The second wonderful limit:

### Other useful limits formulas:

## infinitesimal

### infinitesimal equivalence:

As x → 0, the following functions are equivalent:

x ~
sin(x) ~
arcsin(x) ~
tg(x) ~
arctg(x) ~
ln(1+x)

To find the limit of the division of two infinitesimal functions, they can by substituted by their equivalents:

To calculate the limits you can use our online calculator.