+91-8076753736 support@wiredfaculty.com

Sponsor Area

Continuity And Differentiability

Question

Wired Faculty App

Check the continuity of the function f given by f(x) = 2 x + 3 at x = 1.

Solution

Here space space space space space space space space space space space space space space space space space space space space space space space straight f left parenthesis straight x right parenthesis equals 2 straight x plus 3 Lt with straight x rightwards arrow 1 below space straight f left parenthesis straight x right parenthesis equals Lt with straight x rightwards arrow 1 below space left parenthesis 2 straight x plus 3 right parenthesis equals 2 left parenthesis 1 right parenthesis plus 3 equals 2 plus 3 equals 5 Now space straight f space is space defined space at space straight x equals 1 and space space straight f left parenthesis 1 right parenthesis equals 2 left parenthesis 1 right parenthesis plus 3 equals 2 plus 3 equals 5 therefore stack Lt space with straight x rightwards arrow 1 below space straight f left parenthesis straight x right parenthesis equals straight f left parenthesis 1 right parenthesis equals 5 therefore space straight f space is space continous space at space straight x equals 1.

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation