# 5. Is the function f defined by   continuous at x = 0? At x = 1? At x = 2?

Given function is

function is defined at x = 0 and its value is 0

Hence , given function is continous at x = 0

given function  is defined for x = 1
Now, for x = 1 Right-hand limit and left-hand limit are not equal

R.H.L  L.H.L.
Therefore, given function is not continous at x =1
Given function is defined for x = 2 and its value at x = 2 is 5

Hence, given function is continous at x = 2

## Related Chapters

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-