Suppose 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

Both are True

Theorem : 

Suppose 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