Given the conditions below, a function f is said to be continuous at "a" if (1) f(d) exists; (2) lim f(x) exists; and (3) lim f(x) = f(d).

Q: Sketch a graph of a function f that satisfies the given values.

A: The objective is to draw a graph that satisfies the given values. f0 is undefined. limx→0fx=4 f2=6…

Q: Re Prove directly from definition that it f is a positive function so that lim +(x)=16, then…

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Q: Given the graph of the function f below, Which of the following must be true? 3 2.

A: Graph is given

Q: Prove positive function so that lim + (x)=16, then lim√(x)=4 directly from definition that it f is a…

A: Given that Let  f is a positive function so that  limx→-4f(x)=16  .

Q: 2x+1 Consider the function f(x) Determine lim f(x).

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Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: (a) lim g(x) = -3 %3D (b) g is left-continuous, but not right-continuous, at z = -1 (c) g(2) = 3 (d)…

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Q: 1) Use the graph of f below to estimate the following: m 0 -1+ % 4 a) lim f(x): x-1 b) lim f(x)= c)…

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Q: Calculate (a) so that the function is a real number

A: Approach to solving the question:For solving this question to find the value of 'a', we use the…

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions.  lim x→0…

A: Answer

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.