# Limit Formula

In mathematics, limit is a fundamental concept in calculus and the behaviour concerns the function near that particular input. The formal definitions are first devised in the $19^{th}$ century, informally, when we say function f is assigned an output f(x) to every input x.

The limit of the function is calculated using limit formula.

$\large \lim_{x\rightarrow a}f\left(x\right)=A$

### Solved Examples

Question 1: Calculate $\lim_{x \rightarrow 2}$ 3x2 + 4x + 6 ?

Solution:

$\lim_{x \rightarrow 2}$ 3x2 + 4x + 6

= 3(2)2 + 4(2) + 6
= 12 + 8 + 6
= 26

 More topics in Limit Formula Stirling Formula

#### Practise This Question

The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of  10 per square meter.