5. Assume that the 2 functions f, g are continuous at a point a in their common domair D. Show that their sum f+g is a continuous functions at a. (Use the definition of continuity at a point)
5. Assume that the 2 functions f, g are continuous at a point a in their common domair D. Show that their sum f+g is a continuous functions at a. (Use the definition of continuity at a point)
5. Assume that the 2 functions f, g are continuous at a point a in their common domair D. Show that their sum f+g is a continuous functions at a. (Use the definition of continuity at a point)
Transcribed Image Text:**Problem 5**:
Assume that the two functions \( f, g \) are continuous at a point \( a \) in their common domain \( D \). Show that their sum \( f + g \) is a continuous function at \( a \). (Use the definition of continuity at a point)
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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