Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Check the continuity of the given equation : f(x) = 2x + 3 at x = 1

Options:

discontinuous at x = 1

discontinuous at x = 1 but continuous at x = 2

continuous at x = 1

discontinuous at x = 2

Correct Answer:

continuous at x = 1

Explanation:

\(\lim_{x→1}\)= \(\lim_{x→1}\) (2x+3) = 2(1) + 3 = 5 

\(\lim_{x→1}\) f(x) = 5 = f(1)

 

∴ continous at 1