Learn and know how to explain **what is a limit** in calculus. In calculus this is the first definition we are going to learn. Further concepts in **calculus** if you want to understand clearly, first know what is a limit exactly.

It is important that before knowing what is a limit? First we should know what is the Right Hand limit and what is the Left Hand Limit. So first we will discuss these two things and then we will discuss **what is a limit**. We will also discuss the conditions for **existence of limit**.

**What is Right hand limit?**

Let f(*x*) be a function, if this function f(*x*) approaches to M as “*x*” approaches to “a” from the right hand side, then we call “M” as the **Right Hand Limit**. Right Hand Limit in simple notation we will write it as R.H.L

**What is Left hand limit?**

Let f(*x*) be a function, if this function f(*x*) approaches to N as “*x*” approaches to “a” from the left hand side, then we call “N” as the **Left Hand Limit**. Left Hand Limit in simple notation we will write it as L.H.L

**Check what is a limit?**

Let f(*x*) be a function in “*x*”. Suppose if f(*x*) comes very close to K as “*x*” approaches to “a”, then we call “K” as the **limit** of the function f(*x*). We can express it as \lim _{ x\rightarrow a }{ f(x) } =k

**Conditions for Existence of limit as follows:**

How to check that limit is exist or not for a given function at x=a.

If the values of left hand limit (L.H.L) and right hand limit (R.H.L) are equal then we say that limit exist otherwise limit doesn’t exists.

Note:

The value of a function f(*x*) at *x*= a and the limit of a function f(*x*) at *x*= a, sometimes values may be same but the meaning of these two things are different.

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