Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

If f and g are two real functions continuous at a real number c, then :

  • f+g is continuous at x=c
  • f/g is continuous at x=c, g(c)\(\neq \)0
Options:

only 1 is true

both are true

both are false

only 2 is true

Correct Answer:

both are true

Explanation:

Theorem : 

If f and g are two real functions continuous at a real number c, then :

  • f+g is continuous at x=c
  • f+g is continuous at x=c
  • f.g is continuous at x=c
  • f/g is continuous at x=c, g(c)\(\neq \)0