Let f and g be functions. If lim g(x) L, then lim f(g(z)) = f(L). Select one: Oa. True O b. False

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A: Given:  function in the form y = ƒ(u) and u = g(x).Then find dy>dx as a function of x. y = e5-7x

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Q: True False An equation for the circle with the given center C(-3, 3) and radius a = 4 is x^2 + 6x + ...

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Q: In Exercises 45-48, solve each equation for x. 45. 2 x = 32 x + 3 46. -6 28 4 6 x - 2 -4 1 -2 2 X 1 ...

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Q: . Let f(x) = log a (3x^(3) -2)for what value of a is f ‘(1) =3

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Q: Q5:The derivative of: y(Y) = log, (sin(Y )cos(Y ))- log,(2*e*)?

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Q: Let 7 (X) Use the First or Second Derivative Test to find the relative extreme values for f. Then id...

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.