Question

Can someone help me with limit laws?

Answer 1

If the limit of f(x) as x approaches five is 2, and the limit of g(x) as x approaches 5 is -3, evaluate the following:

Answer 2

Thank you so much in advance :)

Answer 3

oh oops I wrote I negative 2 there.. let me change that

Answer 4

\[\begin{align}\lim_{x\to 5} 5(f(x))^3+7g(x)f(x)&=5\lim_{x\to 5}(f(x))^3+7\lim_{x\to 5} g(x)f(x)\\& =5\left(\lim_{x\to 5} f(x) \right)^3 +7\lim_{x\to 5} g(x)\lim_{x\to 5} f(x)\\&=5(2)^3+7(-3)(2)\\&=5(8)+7(-6)\\&=-2 \end{align}\]

Answer 5

Thank you so much :) I wasn't sure how to break it down but that helped a lot! Thank you!

Answer 6

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