﻿ Let  where g is a continuous function. Then  exists if : Kaysons Education

# Let  Where g Is A Continuous Function. Then  exists If

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

g(x) =

and

Hence

exists if g(x) = x or g(x) = .

If g(x) = athen  and

Thus  doesn’t exist in this case.

#### SIMILAR QUESTIONS

Q1

is equal to

Q2

is equal to

Q3

is equal to

Q4

The value of f(0) so that the function

is continuous at each point in its domain, is equal to

Q5

Let

The values of A and B so that f(x) is continuous everywhere are

Q6

Let

The value which should be assigned to f at x = a so that it is continuous everywhere is

Q7

The number of points at which the function f(x) = 1/log |x| is discontinuous is

Q8

For  R,

Q9

The value of a for which  tends to a finite limit as  is

Q10

The value of  is