Continuity of Sums, Differences, and Constant Multiples
Read this topicProblems 3
- Let fff and ggg be continuous functions. Which of the following is true about function continuity?
- Let limx→32sin(x)=a\lim_{x \to 3} 2\sin(x) = alimx→32sin(x)=a and limx→1ex=b\lim_{x \to 1} e^x = blimx→1ex=b. What is limx→14sin(3x)+3ex\lim_{x \to 1} 4\sin(3x) + 3e^xlim…
- Let limx→0f(x)=5\lim_{x \to 0} f(x) = 5limx→0f(x)=5 and limx→0g(x)=12\lim_{x \to 0} g(x) = 12limx→0g(x)=12. If fff and ggg are both continuous, what is (f+g)(0)(f+g)(0)(f+g)…