4c36a0…: “By the teal set”

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Worked Out Examples Problem Videos

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Practice Problems: Abstract use of Limit Laws

1 : If you know that $\lim _{x \to \sage {p1target}} f(x) = \sage {p1c1}$ and $\lim _{x \to \sage {p1target}} g(x) = \sage {p1c2}$ , then evaluate the following limit:

$\lim _{x \to \sage {p1target}} \left ( \sage {p1c3} f(x) + \sage {p1c4}g(x) \right ) = \answer {\sage {p1ans}}$

Remember that you can use limit laws to rewrite $\lim _{x \to \sage {p1target}} \left ( \sage {p1c3} f(x) + \sage {p1c4}g(x) \right ) = \lim _{x \to \sage {p1target}}( \sage {p1c3}) \cdot \lim _{x \to \sage {p1target}}(f(x)) + \lim _{x \to \sage {p1target}}(\sage {p1c4}) \cdot \lim _{x \to \sage {p1target}}(g(x))$