Question

To prove: "If $f,g$ are continuous functions then $f+g$ is continuous." The proof started from assumption " Let $f,g$ be continuous functions."

This method of proof is

• A. The Direct method.
• B. The proof by contradiction.
• C. The proof by contrapositive method.
• D. Induction method.

Answer 1

The correct option is A The Direct method.

In direct method we have to assume the hypothesis as we have assumed the hypothesis f,gf,g be continuous functions in this case,hence it is proved by direct method

$A$