No products in the cart.

# function f is defined as f(x) …

## CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

function f is defined as f(x) = {2x+2, x<2; k, x=2; 3x, x>2} find the value of k for which the function f is continuous at x=2

Account Deleted 1 month, 2 weeks ago

It is continuous at x=2 Then, LHL: lim x-2–. f(x)= (2x+2)= 2*2+2=6 RHL: lim x-2+.f(x)=3x= 3*2=6 and at 'K' x=2 which is independent of any terms of X or exponential power of X . So,by comparing LHL and RHL we get solutions which is K = 6. Hence,K=6.

Jaideep Debnath 1 month, 2 weeks ago

It is continuous at x=2 Then, LHL: lim x-2–. f(x)= (2x+2)= 2*2+2=6 RHL: lim x-2+.f(x)=3x= 3*2=6 and at 'K' x=2 which is independent of any terms of X or exponential power of X . So,by comparing LHL and RHL we get solutions which is K = 6. Hence,K=6.

Related Questions

## myCBSEguide

Trusted by 1 Crore+ Students

## Test Generator

Create papers online. It's FREE.

## CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app