Let be continuous functions. Prove directly from the definition of continuity that the function f + 5g is continuous.
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Originally Posted by Jason Bourne Let be continuous functions. Prove directly from the definition of continuity that the function f + 5g is continuous. if g is cont., then 5g is cont. so let us prove the case f + h is cont., where h = 5g let f,g continuous, say at x=a such that if i) ii) take then if , . QED
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