Let r(t) = (V3– t, (el-1) – 1)/(t – 1), lIn(2 – t)). %3D (a) What is the domain of r? (b) Compute lim→1 r(t). (c) Compute r'(t).

Q: If f'is continuous, f(3) = 0, and f '(3) = 6, evaluate f(3 + 5x) + f(3 + 6x) lim

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Q: Find the limit

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Q: can this be evalnated by using L'HOSpital's Ruie? lim Trxln(x) Itxen(x) (メ-)nx

A: The given limit can we evaluated by using algebra of limits.

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Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

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A: Consider fx=e-x so domain is all real numbers.  Also, f'x=-e-x&lt;0.  Calculate the limit…

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A: given, f(x)=(x+4)(x2+4)

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Q: In (2-x) 1-x²-y2¹ (a). Find and sketch the domain of f. 1. Given function f(x, y) = ,do the…

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Q: Is there a function f such that limx→1 f(x) = 0 and limx→1 f(x) (x-1)³ = -∞?

A: To find:- A function f such that limx→1fx=0 and limx→1 fxx-13=-∞

Q: F(t)= t square-root 9-t^2. (-1,3) Find absolute maximum and minimum values

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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.